Question

Marsha serves the volleyball to Carol with an upward velocity of 20 ft/s. The ball is 4.5 feet above the ground when she strikes it. How long does Carol have to react before the volleyball hits the ground?

a. 2.23 seconds
b. 2.47 seconds
c. 2.75 seconds
d. 3.01 seconds

Answer 1

Carol has approximately 1.25 seconds to react before the volleyball hits the ground.

Step-by-step explanation:

To find the time Carol has to react before the volleyball hits the ground, we can use the equation for the time of flight for a projectile:

t = 2v/g

where t is the time, v is the initial velocity, and g is the acceleration due to gravity. In this case, the upward velocity is the initial velocity. So, substituting the given values into the equation:

t = 2 * 20 ft/s / 32 ft/s^2 = 1.25 seconds

Therefore, Carol has approximately 1.25 seconds to react before the volleyball hits the ground.