A car accelerates uniformly from a velocity of 10 km/h to 30 km/h in one minute. Which graph best describes the motion of the car?
A) 1)
B) 2)
C) 3)
D) 4)
E) 5)

Question

A car accelerates uniformly from a velocity of 10 km/h to 30 km/h in one minute.  Which graph best describes the motion of the car?
A) 1) 
B) 2) 
C) 3) 
D) 4) 
E) 5)

Quizplus · Accepted Answer

The car's velocity is changing uniformly, which means that it is experiencing constant acceleration. This acceleration can be calculated using the formula:

acceleration = (final velocity - initial velocity) / time

Plugging in the given values, we get:

acceleration = (30 km/h - 10 km/h) / (1 minute / 60 minutes/hour) = 20 km/h / 1 hour = 20 km/h^2

Note that we converted the time from minutes to hours so that the units match.

Now, let's look at the options:

1) This option shows constant velocity, which is not the case since the car is accelerating.

2) This option shows a nonlinear increase in velocity, which is also not correct since we know the acceleration is constant.

3) This option shows a linear increase in velocity, which is correct since we know the acceleration is constant.

4) This option shows nonlinear acceleration, which is not correct since we know the acceleration is constant.

5) This option shows constant acceleration, which is not correct since we know the car's velocity is changing linearly.

Therefore, option C) is the best choice.

A Car Accelerates Uniformly from a Velocity of 10 Km/h