Question

A red cart starts from rest at the top of a ramp and coasts down the ramp with a constant acceleration. A blue motor car starts at the top of the same ramp directly beside the red cart. The blue motor car moves down the ramp with a constant speed When the red catches up to the blue car, how does the speed of the red cart compare with the speed of the blue car ?

• A. The red cart is moving at the same speed as the blue car.
• B. The red cart is moving slightly faster than the blue car.
• C. The red cart is moving more slowly than the blue car.
• D. The red cart is moving twice as fast as the blue car.
• E. The red cart is moving more than twice as fast as the blue car.

Answer 1

The correct option is B The red cart is moving slightly faster than the blue car.

Speed of the red car is continuously increasing and the distance between the blue car and the red car is increasing initially, but as soon as the red car gains velocity equal to the velocity of the blue car the distance between them start decreasing as the speed of the red car is increasing and speed of the blue car is decreasing. So, when the red car catches the blue car the speed of the red car is more than the speed of the blue car.