Question

A cart begins from rest at the top of a long incline and rolls with a constant acceleration of $2m/s^2$. How far has the cart moved along the incline after rolling for $3$ seconds?

• A. $3$ meters
• B. $6$ meters
• C. $9$ meters
• D. $18$ meters

Answer 1

Answer: (C)

$9$ meters

Given:

Initial velocity of cart $u=0m/s$

Acceleration of the cart $a=2$ $m/s^2$

Distance covered by cart in 3 seconds is given second equation of motion,

$S=ut+\frac{1}{2}a{t}^2$ where $t=3$ seconds

$\therefore$ $S=0+\frac{1}{2}\times 2\times 3^2=9$ meters