Question

A 32.0 kg cart is at rest on a frictionless, horizontal surface. The cart experiences an unbalaced force, causing the cart to accelarate at a rate of +5 m/s2.

Calculate the time it takes for the cart to travel 200 meters.

Answer 1

t = 8.94 s

Step-by-step explanation:

We will use the second equation of motion to calculate the time taken by the cart:

`s = v_it + (1)/(2) at^2`

where,

s = distance = 200 m

vi = initial speed = 0 m/s

t = time taken = ?

a = acceleration = 5 m/s²

Therefore,

`200\ m = (0\ m/s)(t)+(1)/(2)(5\ m/s^2)t^2\\\\t^2 = ((200\ m)(2))/(5\ m/s^2)\\\\t = √(80\ s^s)`

t = 8.94 s