A 15 kg cart is pushed on a frictionless surface from rest horizontally by a 30 N force. What is the cart's acceleration? b. How far wil it travel in 10 seconds?
c. What is its velocity at the end of 10 seconds?

a. The cart's acceleration is 2 m/s^2

b. The cart will travel 100 m

c. The speed is 20 m/s

Explanation:

a. The acceleration of the cart can be calculated using Newton's second law:

F = m.a

Solving for a:

The cart has a mass of m=15 Kg and is applied a net force of F=30 N, thus:

b.

Now we use kinematics to find the distance and speed:

The cart starts from rest (vo=0). The distance traveled in t=10 seconds is:

The cart will travel 100 m

c.

The final speed is calculated by:

The speed is 20 m/s