An object starts from rest and undergoes uniform acceleration.During the first second it travels 5.0 m.How far will it travel during the third second?
A)5.0 m
B)15 m
C)25 m
D)45 m

Question

Quizplus · Accepted Answer

We can use the equation of motion relating displacement, initial velocity, acceleration, and time:

S = ut + 1/2 * at^2

where 
S = displacement 
u = initial velocity (which is zero in this case) 
a = acceleration 
t = time

For the first second:

S1 = 0 + 1/2 * a * 1^2 
S1 = 1/2 * a

Since we know that S1 = 5.0 m, we can solve for a:

5.0 m = 1/2 * a 
a = 10 m/s^2

Now, we can find the displacement during the third second:

S3 = 0 + 1/2 * a * 3^2 
S3 = 1/2 * 10 * 9 
S3 = 45 m

Therefore, the object will travel 45 m during the third second. The correct answer is (C).

An Object Starts from Rest and Undergoes Uniform Acceleration