An initially stationary cart rolls down an incline with a measured acceleration

Question

An initially stationary cart rolls down an incline with a measured acceleration of 2.7m/s^2. How far along the incline does the cart roll in 3.1 seconds? Please explain how to get to the answer with answer. Thank you! An initially stationary cart rolls down an incline with a measured acceleration of 2.7m/s^2. How far along the incline does the cart roll in 3.1 seconds? Please explain how to get to the answer with answer. Thank you! An initially stationary cart rolls down an incline with a measured acceleration of 2.7m/s^2. How far along the incline does the cart roll in 3.1 seconds? Please explain how to get to the answer with answer. Thank you!

Explanation / Answer

Here,

acceleration , a = 2.7 m/s^2

time , t = 3.1 s

let the distance travelled is d

using second equation of motion

d = u * t + 0.5 * a * t^2

d = 0.5 * 2.7 * 3.1^2

d = 13 m

the distance travelled by the cart is 13 m

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