Question

A body is coming down an inclined plane with an acceleration of 1 m/s². If it starts from rest, find the time after which its velocity becomes 5 m/s.

Answer 1

Step 1: Given data and assumptions made:

Initial velocity, u = 0 m/s

Acceleration, a = 1 m/s²

Let the velocity 5 m/s be its final velocity, v

Let the time taken by the body to reach this final velocity, v be t.

Step 2: Finding the time after which its velocity becomes 5 m/s

Applying the 1st equation of motion

$$\begin{gathered} \mathrm{v}=\mathrm{u}+\mathrm{at} \\ \mathrm{Inserting}\mathrm{the}\mathrm{given}\mathrm{values}; \\ 5=0+1\left(\mathrm{t}\right) \\ 5\mathrm{seconds}\left(\mathrm{s}\right)=\mathrm{t} \end{gathered}$$

Therefore, after 5 seconds the velocity of the body will be equal to 5 m/s.