A rookie quarterback throws a football with an initial upward velocity component of 12.0 m/s and a horizontal velocity component of 20.0 m/s. Ignore air resistance. (a) How much time is re- quired for the football to reach the highest point of the trajectory? (b) How high is this point? (c)

A rookie quarterback throws a football with an initial upward velocity component of 12.0 m/s and a horizontal velocity component of 20.0 m/s. Ignore air resistance. (a) How much time is re- quired for the football to reach the highest point of the trajectory? (b) How high is this point? (c)

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter3: Two-dimensional Kinematics

Section: Chapter Questions

Problem 14CQ: Answer the following questions for projectile motion on level ground assuming negligible air...

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Problem 4
A rookie quarterback throws a football with an
initial upward velocity component of 12.0 m/s
and a horizontal velocity component of 20.0 m/s.
Ignore air resistance. (a) How much time is re-
quired for the football to reach the highest point
of the trajectory? (b) How high is this point? (c)
How much time (after it is thrown) is required for
the football to return to its original level? How
does this compare with the time calculated in
part (a)? (d) How far has the football traveled
horizontally during this time? (e) Draw x – t,
y – t, vx – t, and vy – t graphs for the motion.

Expert Solution

Step 1

Given:

Horizontal component of velocity $v_{x} = 20 \frac{m}{s}$

initial upward component of velocity $v_{y i} = 12 m / s$

Find:

time required for the football to reach highest point $t_{1}$

maximum height $y_{m a x}$

time required to return the level $t$

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