Question

A hand belt car starts from rest and accelerates down an inclined plane at 0.5 m/s2. If it takes the car 10 seconds to cross the finish line, what is the cart's final velocity?

a) 5 m/s
b) 2.5 m/s
c) 10 m/s
d) 7.5 m/s

Answer 1

To find the final velocity of a car accelerating down an incline, use the equation v = u + at where u=0. With acceleration of 0.5 m/s2 for 10 seconds, the final velocity is 5 m/s.

Step-by-step explanation:

The question is asking for the final velocity of a hand belt car that accelerates uniformly on an inclined plane. Given the acceleration is 0.5 m/s2 and the time to cross the finish line is 10 seconds, we can use the kinematic equation which relates final velocity (v), initial velocity (u), acceleration (a), and time (t).

The equation is: v = u + at. Since the car starts from rest, u = 0.

Substituting the given values into the equation gives us v = 0 + (0.5 m/s2) (10 s) = 5 m/s.

Therefore, the cart's final velocity is 5 m/s, which corresponds to option (a).