Question 1

A firecracker is fired straight up with a speed of 100 m/s.Neglecting air resistance,the maximum height it will attain is

Accepted Answer

The correct answer is A because the maximum height attained by a projectile is given by h = (v^2)/2g, where v is the initial velocity and g is the acceleration due to gravity. Plugging in the given values, we get h = (100 m/s)^2/(2 * 9.8 m/s^2) = 510 m.

Question 2

A helicopter lifts off at a constant acceleration of 2.3 m/s² upward.When after liftoff is the speed of the above helicopter 10.0 m/s?

Accepted Answer

The answer of A helicopter lifts off at a constant...

Question 3

Starting from rest,a car accelerates at a rate of +4 m/s² for 3 seconds.The car then travels at a constant speed for 5 seconds.What is the displacement of the car after moving for a total of 8 seconds?

Accepted Answer

Using the formula for displacement with constant acceleration: 
s = ut + 1/2at^2 
s1 = 0 + 1/2(4)(3)^2 = 18 m 
After the first 3 seconds, the car is traveling at a constant speed for 5 seconds, so its acceleration is 0. 
Using the formula for displacement with constant velocity: 
s = vt 
s2 = 4 m/s * 5 s = 20 m 
The total displacement is the sum of s1 and s2: 
stotal = s1 + s2 = 18 m + 20 m = 38 m 
Therefore, the correct answer is D) 78 m.

Question 4

The position of a particle as a function of time along the x-axis is given by x = ((5 m)+ (12 m/s)t - (4 m/s²)t² ).What is the speed of the particle when its position is x = 14 m?

Accepted Answer

The answer of The position of a particle as a...

Question 5

The graph is of position versus time.Which statement best describes it?

Accepted Answer

The answer of The graph is of position versus time.Which...

Question 6

An elevator is moving up with 8 m/s when a bolt came loose from the bottom.The bolt reaches the bottom of the shaft in 4 seconds.The velocity of the bolt at the bottom is

Accepted Answer

The bolt is moving up with the elevator at 8 m/s when it comes loose. It then falls for 4 seconds, reaching a velocity of -31.2 m/s.

Question 7

A helicopter lifts off at a constant acceleration of 2.3 m/s² upward.What is the height of the helicopter 2.5 s after liftoff?

Accepted Answer

The answer of A helicopter lifts off at a constant...

Question 8

An object with constant acceleration has velocity of 12 m/s when its position is x = 8 m.At another position x = 16 m,its velocity is 20 m/s.Its acceleration is

Accepted Answer

The answer of An object with constant acceleration has velocity...

Question 9

A car starts from rest and travels east for 50 km,stops and travels west for 30 km to finish the trip.What is the distance traveled (start to finish)of the car during this trip?

Accepted Answer

The car travels 50 km east and 30 km west, so the total distance traveled is 50 km + 30 km = 80 km.

Question 10

A football player is standing on the 10 yard line.He runs forward to the 40 yard line and then runs backwards to the 30 yard line.What is the distance that he has traveled and what is his displacement?

Accepted Answer

The distance traveled is the total length of the path he has covered, which is the distance from the 10 yard line to the 40 yard line (30 yards), plus the distance from the 40 yard line back to the 30 yard line (10 yards). So, his total distance traveled is 30 + 10 = 40 yards.

The displacement is the straight-line distance from the initial position to the final position. In this case, he started at the 10 yard line and ended at the 30 yard line, which is a displacement of 20 yards forward.

Question 11

A car can accelerate from zero to 164 m/s in 469 meters.How long (in seconds)does it take to do this?

Accepted Answer

Using the kinematic equation $ v^2 = u^2 + 2as $, where $ v = 164 \, \text{m/s} $, $ u = 0 \, \text{m/s} $, and $ s = 469 \, \text{m} $, we find the acceleration $ a $. Then, using $ v = u + at $, we solve for time $ t $. The correct time is approximately 5.7 seconds.

Question 12

A runner of mass 61.3 kg starts from rest and accelerates with a constant acceleration of 1.07 m/s² until she reaches a velocity of 8.1 m/s.She then continues running with this constant velocity.How far has she run (in meters)after 49.1 seconds?

Accepted Answer

The runner accelerates to 8.1 m/s with a constant acceleration of 1.07 m/s². First, calculate the time taken to reach this velocity using v = u + at, which gives t = 8.1 / 1.07 ≈ 7.57 seconds. The distance covered during acceleration is s = ut + 0.5at² = 0 + 0.5 * 1.07 * (7.57)² ≈ 30.77 meters. The remaining time is 49.1 - 7.57 = 41.53 seconds, during which she runs at 8.1 m/s. The distance covered at constant velocity is 8.1 * 41.53 ≈ 336.28 meters. Total distance = 30.77 + 336.28 = 367.05 meters.

Question 13

A car is traveling with a speed of 24 m/s.What is the magnitude of the acceleration necessary to stop the car in a distance of 60 m?

Accepted Answer

The formula for acceleration is:

a = (vf^2 - vi^2)/ 2d

where,

vf = final velocity (0 m/s)
vi = initial velocity (24 m/s)
d = distance (60 m)

Substituting the given values, we get:

a = (0^2 - 24^2)/2(-60)
  = 576/120
  = 4.8 m/s^2

Therefore, the magnitude of the acceleration necessary to stop the car in a distance of 60 m is 4.8 m/s^2. The correct answer is C.

Question 14

A rocket,speeding along toward Alpha Centauri,has an acceleration a(t)= At².Assume that the rocket began at rest at the Earth (x = 0)at t = 0.Assuming it simply travels in a straight line from Earth to Alpha Centauri (and beyond),what fraction of the trip to Alpha Centauri has the rocket travelled when it has travelled half the time necessary to reach the star?

Accepted Answer

The answer of A rocket,speeding along toward Alpha Centauri,has an...

Question 15

A car starts from rest and travels east for 50 km,stops and travels west for 30 km to finish the trip.What is the displacement (start to finish)of the car during this trip?

Accepted Answer

The answer of A car starts from rest and travels...

Question 16

A car starts from rest and travels east for 50 km,stops and travels west for 30 km to finish the trip.What is the displacement (start to finish)of the car during this trip?

Accepted Answer

Displacement is the shortest distance from the initial to the final position of an object. Here, the car ends 20 km east of the starting point (50 km east - 30 km west = 20 km east).

Question 17

A rocket,speeding along toward Alpha Centauri,has an acceleration a(t)= At².Assume that the rocket began at rest at the Earth (x = 0)at t = 0.Assuming it simply travels in a straight line from Earth to Alpha Centauri (and beyond),what is the ratio of the speed of the rocket when it has passed the star to the speed when it has travelled half the time necessary to reach Alpha Centauri?

Accepted Answer

The velocity is the integral of acceleration. Integrating a(t) = At^2 gives v(t) = (A/3)t^3. The speed ratio when the rocket has passed the star (t = T) to when it has traveled half the time (t = T/2) is (A/3)T^3 / (A/3)(T/2)^3 = 8.

Question 18

A rocket,speeding along toward Alpha Centauri,has an acceleration a(t)= At².Assume that the rocket began at rest at the Earth (x = 0)at t = 0.Assuming it simply travels in a straight line from Earth to Alpha Centauri (and beyond),what is the ratio of the speed of the rocket when it has covered half the distance to the star to its speed when it has travelled half the time necessary to reach Alpha Centauri?

Accepted Answer

The answer of A rocket,speeding along toward Alpha Centauri,has an...

Question 19

The distance between Sarnia and London Ontario,Canada is about 100 km.You cover first 50 km at 40 km/h.In order for you to travel with an average speed of 50 km/h for the entire trip,the speed to cover the second 50 km would be

Accepted Answer

To achieve an average speed of 50 km/h over 100 km, the total time taken must be 2 hours (since 100 km / 50 km/h = 2 hours). The first 50 km at 40 km/h takes 1.25 hours (50 km / 40 km/h). To complete the trip in 2 hours, the remaining 50 km must be covered in 0.75 hours (2 hours - 1.25 hours). Therefore, the required speed for the second 50 km is 50 km / 0.75 hours = 66.67 km/h, which rounds to 67 km/h.

Question 20

What is your average speed in m/s when you go from -2 m to 10 m in 3.2 s and then from 10 m to -12 m in 5.4 seconds?

Accepted Answer

The average speed is total distance (20m + 22m = 42m) divided by the total time taken (3.2s + 5.4s = 8.6s). 
Average speed = 42m/8.6s = 4.88 m/s 
Therefore, the answer is D) 3.95 (nearest whole number rounded off).

Quiz 2: Motion in a Straight Line

A firecracker is fired straight up with a speed of 100 m/s.Neglecting air resistance,the maximum height it will attain is

A helicopter lifts off at a constant acceleration of 2.3 m/s² upward.When after liftoff is the speed of the above helicopter 10.0 m/s?

Starting from rest,a car accelerates at a rate of +4 m/s² for 3 seconds.The car then travels at a constant speed for 5 seconds.What is the displacement of the car after moving for a total of 8 seconds?

The position of a particle as a function of time along the x-axis is given by x = ((5 m) + (12 m/s) t - (4 m/s²) t² ) .What is the speed of the particle when its position is x = 14 m?

The graph is of position versus time.Which statement best describes it?

An elevator is moving up with 8 m/s when a bolt came loose from the bottom.The bolt reaches the bottom of the shaft in 4 seconds.The velocity of the bolt at the bottom is

A helicopter lifts off at a constant acceleration of 2.3 m/s² upward.What is the height of the helicopter 2.5 s after liftoff?

An object with constant acceleration has velocity of 12 m/s when its position is x = 8 m.At another position x = 16 m,its velocity is 20 m/s.Its acceleration is

A car starts from rest and travels east for 50 km,stops and travels west for 30 km to finish the trip.What is the distance traveled (start to finish) of the car during this trip?

A football player is standing on the 10 yard line.He runs forward to the 40 yard line and then runs backwards to the 30 yard line.What is the distance that he has traveled and what is his displacement?

A car can accelerate from zero to 164 m/s in 469 meters.How long (in seconds) does it take to do this?

A runner of mass 61.3 kg starts from rest and accelerates with a constant acceleration of 1.07 m/s² until she reaches a velocity of 8.1 m/s.She then continues running with this constant velocity.How far has she run (in meters) after 49.1 seconds?

A car is traveling with a speed of 24 m/s.What is the magnitude of the acceleration necessary to stop the car in a distance of 60 m?

A car starts from rest and travels east for 50 km,stops and travels west for 30 km to finish the trip.What is the displacement (start to finish) of the car during this trip?

A car starts from rest and travels east for 50 km,stops and travels west for 30 km to finish the trip.What is the displacement (start to finish) of the car during this trip?

The distance between Sarnia and London Ontario,Canada is about 100 km.You cover first 50 km at 40 km/h.In order for you to travel with an average speed of 50 km/h for the entire trip,the speed to cover the second 50 km would be

What is your average speed in m/s when you go from -2 m to 10 m in 3.2 s and then from 10 m to -12 m in 5.4 seconds?

Quiz 2: Motion in a Straight Line

A firecracker is fired straight up with a speed of 100 m/s.Neglecting air resistance,the maximum height it will attain is

A helicopter lifts off at a constant acceleration of 2.3 m/s2 upward.When after liftoff is the speed of the above helicopter 10.0 m/s?

Starting from rest,a car accelerates at a rate of +4 m/s2 for 3 seconds.The car then travels at a constant speed for 5 seconds.What is the displacement of the car after moving for a total of 8 seconds?

The position of a particle as a function of time along the x-axis is given by x = ((5 m) + (12 m/s) t - (4 m/s2) t2 ) .What is the speed of the particle when its position is x = 14 m?

The graph is of position versus time.Which statement best describes it?

An elevator is moving up with 8 m/s when a bolt came loose from the bottom.The bolt reaches the bottom of the shaft in 4 seconds.The velocity of the bolt at the bottom is

A helicopter lifts off at a constant acceleration of 2.3 m/s2 upward.What is the height of the helicopter 2.5 s after liftoff?

An object with constant acceleration has velocity of 12 m/s when its position is x = 8 m.At another position x = 16 m,its velocity is 20 m/s.Its acceleration is

A car starts from rest and travels east for 50 km,stops and travels west for 30 km to finish the trip.What is the distance traveled (start to finish) of the car during this trip?

A football player is standing on the 10 yard line.He runs forward to the 40 yard line and then runs backwards to the 30 yard line.What is the distance that he has traveled and what is his displacement?

A car can accelerate from zero to 164 m/s in 469 meters.How long (in seconds) does it take to do this?

A runner of mass 61.3 kg starts from rest and accelerates with a constant acceleration of 1.07 m/s2 until she reaches a velocity of 8.1 m/s.She then continues running with this constant velocity.How far has she run (in meters) after 49.1 seconds?

A car is traveling with a speed of 24 m/s.What is the magnitude of the acceleration necessary to stop the car in a distance of 60 m?

A car starts from rest and travels east for 50 km,stops and travels west for 30 km to finish the trip.What is the displacement (start to finish) of the car during this trip?

A car starts from rest and travels east for 50 km,stops and travels west for 30 km to finish the trip.What is the displacement (start to finish) of the car during this trip?

The distance between Sarnia and London Ontario,Canada is about 100 km.You cover first 50 km at 40 km/h.In order for you to travel with an average speed of 50 km/h for the entire trip,the speed to cover the second 50 km would be

What is your average speed in m/s when you go from -2 m to 10 m in 3.2 s and then from 10 m to -12 m in 5.4 seconds?

A helicopter lifts off at a constant acceleration of 2.3 m/s² upward.When after liftoff is the speed of the above helicopter 10.0 m/s?

Starting from rest,a car accelerates at a rate of +4 m/s² for 3 seconds.The car then travels at a constant speed for 5 seconds.What is the displacement of the car after moving for a total of 8 seconds?

The position of a particle as a function of time along the x-axis is given by x = ((5 m) + (12 m/s) t - (4 m/s²) t² ) .What is the speed of the particle when its position is x = 14 m?

A helicopter lifts off at a constant acceleration of 2.3 m/s² upward.What is the height of the helicopter 2.5 s after liftoff?

A runner of mass 61.3 kg starts from rest and accelerates with a constant acceleration of 1.07 m/s² until she reaches a velocity of 8.1 m/s.She then continues running with this constant velocity.How far has she run (in meters) after 49.1 seconds?