Question

A particle moving with an initial velocity of 5 m/s is subjected to a uniform acceleration of -2.5 m/$s^2$ . find the displacement in the next 4 seconds.

Answer 1

Step 1: Given data:

Initial velocity = u = 5 m/s

Acceleration = a = -2.5 m/$s^2$

Time = t = 4 sec

We have to find the displacement

Step 2: Finding the displacement

From the second equation of motion

$s=ut+\frac{1}{2}a{t}^2$

Putting all the values

$s=5\times 4-\frac{1}{2}\times 2.5\times 4\times 4$

$s=20-2.5\times 2\times 4$

$s=20-5\times 4$

$s=0$

Hence the displacement of the particle in 4 sec is 0.