Question

A kickball is struck with a 15.2 m/s velocity at a 63.0° angle. It lands on a rooftop 2.40 s later. How high is the roof? (Unit = m)

a. 15.2 meters
b. 63.0 meters
c. 2.40 meters
d. None of these

Answer 1

To find the height of the roof, we can use the equations of projectile motion. Using the given values of initial velocity and launch angle, we can calculate the height to be approximately 15.9 meters.

Step-by-step explanation:

To find the height of the roof, we can use the equations of projectile motion.

First, we can find the time it takes for the kickball to land using the equation:

t = 2sin()/

where t is the time of flight, is the initial velocity, is the launch angle, and is the acceleration due to gravity.

Next, we can use the formula:

h = ^2sin^2()/2

to calculate the height of the roof, where h is the height, is the initial velocity, is the launch angle, and is the acceleration due to gravity.

Substituting the given values, we have:

h = (15.2^2 * sin^2(63))/2 * 9.81

Calculating this expression gives us a height of approximately 15.9 meters.