Question

10. A body starts from rest and is found to cover
3 m during the 5th second of its motion.
Find the acceleration if it is uniformly
accelerated.
​

Answer 1

Explanation:

Given conditions ⇒

A body is starts at the rest,

∴ Initial Velocity of the body (u) = 0

Now, Distance covered b the body = 3 m.

Time taken by the body = 5 seconds.

∴ Velocity of the body = Distance/Time

= 3/5

= 0.6 m/s.

∴ Final Velocity (v) of the body = 0.6 m/s.

Now, Using the Formula,

Acceleration = \frac{Final Velocity - Initial Velocity}{Time}Acceleration=

Time

FinalVelocity−InitialVelocity

∴ a = \frac{v - u}{t}a=

t

v−u

∴ a = \frac{0.6 - 0}{5}a=

5

0.6−0

∴ a = 0.12 m/s².

Hence, the acceleration of the body is 0.12 m/s².