Projectile Motion - Example Problem 3.2-8

 

Consider the following projectile motion of the ball shown in the figure. The initial velocity of the ball is v_o = 30 m/s and it is thrown at an angle θ = 40^o above the horizontal. Find the maximum height H, the time it takes the particle to reach point C, and the total horizontal range L that the particle travels.

 

 

Given:

• v_o = 30 m/s
• θ = 40^o

 

Find:

• t_C
• H
• L

 

Solution:

 

Video solution:

 

The following video walks you through the solution to this problem. It is suggested that you try solving the problem first and then, if you have difficulties with the solution, watch the video for help.

 

 

Interactive solution:

 

Which is the correct range equation?

 

L = v_ocos(θ) t_C
L = v_osin(θ) t_C
L = 10 + v_ocos(θ) t_C