A rookie quarterback throws a football with an initial upward velocity component of 12 m/s and a horizontal velocity component of 20 m/s. Ignore air resistance. (a) How much time is required 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 travelled horizontally during this time?

An Introduction to Physical Science
14th Edition
ISBN:9781305079137
Author:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres
Publisher:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres
Chapter2: Motion
Section: Chapter Questions
Problem 12MC: A football is thrown on a long pass. Compared to the balls initial horizontal velocity, the velocity...
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A rookie quarterback throws a football with an initial upward velocity component
of 12 m/s and a horizontal velocity component of 20 m/s. Ignore air resistance.
(a) How much time is required 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 travelled horizontally
during this time?
The ball will reach its highest point
at t = 1.22 s, with the highest point
at 7.35 m above its initial position.
The football will return to its original
O level at t = 3.66 s, which is thrice
that of time it took for the football
to reach its highest point. At this
time, it will cover a horizontal
distance of 73.2 m.
The ball will reach its highest point
at t = 1.22 s, with the highest point
at 7.35 m above its initial position.
The football will return to its original
O level at t = 2.45 s, which is twice
that of time it took for the football
to reach its highest point. At this
time, it will cover a horizontal
distance of 49 m.
The ball will reach its highest point
at t = 1.53 s, with the highest point
at 6.89 m above its initial position.
The football will return to its original
O level at t = 3.06 s, which is twice
that of time it took for the football
to reach its highest point. At this
time, it will cover a horizontal
distance of 61.2 m.
O None of the choices
Transcribed Image Text:A rookie quarterback throws a football with an initial upward velocity component of 12 m/s and a horizontal velocity component of 20 m/s. Ignore air resistance. (a) How much time is required 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 travelled horizontally during this time? The ball will reach its highest point at t = 1.22 s, with the highest point at 7.35 m above its initial position. The football will return to its original O level at t = 3.66 s, which is thrice that of time it took for the football to reach its highest point. At this time, it will cover a horizontal distance of 73.2 m. The ball will reach its highest point at t = 1.22 s, with the highest point at 7.35 m above its initial position. The football will return to its original O level at t = 2.45 s, which is twice that of time it took for the football to reach its highest point. At this time, it will cover a horizontal distance of 49 m. The ball will reach its highest point at t = 1.53 s, with the highest point at 6.89 m above its initial position. The football will return to its original O level at t = 3.06 s, which is twice that of time it took for the football to reach its highest point. At this time, it will cover a horizontal distance of 61.2 m. O None of the choices
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