Question

A light vehicle of mass 50kg starting from rest with an acceleration of 4m/s-2travels for 50m time taken by vehicle is​

Answer 1

$\tt\huge{\blue{Answer:-}}$

The time taken by the vehicle is 5 seconds.

Explanation:It is given that,Mass of the vehicle, m = 50 kgInitial speed of the vehicle, u = 0Acceleration of the vehicle,

 a=4\ m/s^2a=4 m/s2

Distance, d = 50 mLet t is the time taken by the vehicle. It can be calculated using second equation of motion as

$d=ut+\dfrac{1}{2}at^2d=ut+21at2$

$d=\dfrac{1}{2}at^2d=21at2$

$t=\sqrt{\dfrac{2d}{a}}t=a2d$

$t=\sqrt{\dfrac{2\times 50\ m}{4\ m/s^2}}t=4 m/s22×50 m$

$t = 5 seconds$

So, the time taken by the vehicle is 5 seconds. Hence, this is the required solution.