Textbook ExpertVerified Tutor
21 Jan 2022
Given information
Given a baseball is hit with a speed of at an angle of . It lands on the flat roof of a -tall nearby building. If the ball was hit when it was above the ground.
To find: what horizontal distance does it travel before it lands on the building?
Step-by-step explanation
Step 1.
After the ball is hit, it follows a parabolic path and undergoes projectile motion. Assuming that air resistance is negligible, kinematic equations for two dimensions can be used to calculate the horizontal distance it covers.
Recall that in this case of projectile motion, the initial velocity can be resolved into its and components using the equations below.
where is the angle the velocity vector makes with the horizontal.
Furthermore, the horizontal velocity remains constant all throughout the object's motion while the vertical velocity changes because of the downward acceleration with magnitude of .
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