Question

1. challenge a cart rolling down an incline for 5.0 seconds has an acceleration of 4.0 m/s². if the cart has an initial speed of 2.0 m/s, what is its final speed? add text here!

Explanation:

Step1: Identify the formula

We use the kinematic equation \( v = u + at \), where \( v \) is final velocity, \( u \) is initial velocity, \( a \) is acceleration, and \( t \) is time.

Step2: Substitute the values

Given \( u = 2.0\ m/s \), \( a = 4.0\ m/s^2 \), \( t = 5.0\ s \). Substitute into the formula: \( v = 2.0 + (4.0\times5.0) \).

Step3: Calculate the result

First, calculate \( 4.0\times5.0 = 20.0 \). Then, \( v = 2.0 + 20.0 = 22.0\ m/s \).

Answer:

The final speed of the cart is \( 22.0\ m/s \).