Question
In: Physics
A ball is kicked horizontally with 15 m/s initial speed from a cliff. The ball lands...
A ball is kicked horizontally with 15 m/s initial speed from a cliff. The ball lands 75 m away from the base of the cliff (R = 75m). What is the height of the cliff? What is the hitting velocity (the velocity of the ball before it hits the ground)? What is the total time of flight?
Solutions
Expert Solution
Given:
Initial horizontal velocity, 
Initial vertical velocity, 
Range of the ball, 
==========================
What is the total time of flight?
Consider the horizontal motion of the ball
There is no acceleration in the horizontal direction, so horizontal velocity remains constant.
Horizontal velocity = Horizontal Distance/Time of flight
ANSWER: 
=====================
What is the height of the cliff?
Consider the vertical motion of the ball
Use formula 
ANSWER: 
==============================
What is the hitting velocity (the velocity of the ball before it hits the ground)?
Consider the vertical motion of the ball
Use formula 
==================
Consider the horizontal motion of the ball
There is no acceleration in the horizontal direction, so horizontal velocity remains constant.
--------
Final velocity, 
ANSWER: 
========================
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