Consider there is a window 5 meters from a person. The window is sized 1.21 mete
ID: 2013270 • Letter: C
Question
Consider there is a window 5 meters from a person. The window is sized 1.21 meters (4 ft) in length and .914 meter (3 ft) wide at a height of 6 meters from the ground.
A person 1.8288 meters tall (6 ft) wants to bounce a ball (COR: 0.789) on the ground such that the ball goes through the window on the first bounce.
If the person bounces the ball with a speed of 25m/s at an angle of -60° from the horizontal at a point in the middle (between him and the wall), calculate and plot the trajectory of the ball.
Will the ball go through the window? If not, change one of the values such that it does. Then find a RANGE of velocities that will meet this condition, while keeping the COR, Distance, and angle the same.
Detailed explination of how this is done, with mathimatical formulas.
Hint: Look at equations for x(t) and y(t). You could eliminate time from the equations and get an equation for y(x)
Explanation / Answer
I got .08s for the t where it reaches the ground at x1