Question

a boy is riding a bicycle at a velocity of 5.0 m/s. he applies the brakes and uniformly decelerates to a stop at a rate of 2.5 m/s. how long does it take for the bicycle to stop.

Answer 1

Since the initial velocity is 5.0 m/s and the final velocity is 0 m/s (since the bicycle stops), and the acceleration is -2.5 . The bicycle takes 2.0 seconds to stop.

Step-by-step explanation:

To find the time it takes for the bicycle to stop, we can use the formula:

Final velocity = Initial velocity + (Acceleration x Time)

Since the initial velocity is 5.0 m/s and the final velocity is 0 m/s (since the bicycle stops), and the acceleration is -2.5 m/s² (negative since it's deceleration), we can rearrange the formula to:
0 m/s = 5.0 m/s + (-2.5 m/s² x Time)

Simplifying the equation, we get:

2.5 m/s² x Time = 5.0 m/s

Dividing both sides of the equation by 2.5 m/s² gives:
Time = 2.0 seconds

Therefore, it takes 2.0 seconds for the bicycle to stop.

Answer 2

The working equation would be Vf (final velocity) = Vi (initial velocity) + a (acceleration) t (time). The given data are the initial velocity (5.0 m/s), acceleration (-2.5 m/s^2, negative since it is said to decelerate) and the final velocity (0 m/s, since it will put to a stop). The time would be 2 seconds.