Question

A basketball rolling with a velocity of 1.1 m/s undergoes an acceleration of -0.13 m/s² and comes to a stop. How long did it take to come to a stop?

Answer 1

The basketball took approximately 8.46 seconds to come to a stop.

Step-by-step explanation:

To find the time it takes for the basketball to come to a stop, we can use the equation of motion:

Final velocity = Initial velocity + (Acceleration x Time)

Since the final velocity is 0 m/s (the basketball comes to a stop), the initial velocity is 1.1 m/s, and the acceleration is -0.13 m/s², we can substitute these values into the equation and solve for time.
0 = 1.1 + (-0.13 x Time)

-1.1 = -0.13 x Time

Time = -1.1 / -0.13 = 8.46 seconds

Therefore, it took approximately 8.46 seconds for the basketball to come to a stop.