2. Kenneth threw a basketball toward the hoop. At the time the ball left his hands it was travelling at a rate of 8 meters per second. a. How many meters above his hands was the ball after i. 1 second ii. 0.5 seconds iii. 1.5 seconds b. After 0.5 seconds, was the ball on its way up or down? Justify your answer. c. i. How many meters was the ball above his hands after 0.2 seconds? ii. If the ball left Kenneth's hands at a distance of 3 meters above the floor, how far from the floor will the ball be after 0.2 seconds? d. Given that the ball left Kenneth's hands 3 meters above the floor, if Kenneth misses the shot, how long will it take the ball to hit the floor? e. The ceiling of the gym has beams at a height of 15 meters above the floor. Can the ball possibly touch one of these beams? Justify your answer.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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2. Kenneth threw a basketball toward the hoop. At the time the ball
left his hands it was travelling at a rate of 8 meters per second.
a. How many meters above his hands was the ball after
i. 1 second
ii. 0.5 seconds
iii. 1.5 seconds
b. After 0.5 seconds, was the ball on its way up or down? Justify
your answer.
c. i. How many meters was the ball above his hands after 0.2
seconds?
ii. If the ball left Kenneth's hands at a distance of 3 meters
above the floor, how far from the floor will the ball be after
0.2 seconds?
d. Given that the ball left Kenneth's hands 3 meters above the
floor, if Kenneth misses the shot, how long will it take the ball
to hit the floor?
e. The ceiling of the gym has beams at a height of 15 meters above
the floor. Can the ball possibly touch one of these beams?
Justify your answer.
Transcribed Image Text:2. Kenneth threw a basketball toward the hoop. At the time the ball left his hands it was travelling at a rate of 8 meters per second. a. How many meters above his hands was the ball after i. 1 second ii. 0.5 seconds iii. 1.5 seconds b. After 0.5 seconds, was the ball on its way up or down? Justify your answer. c. i. How many meters was the ball above his hands after 0.2 seconds? ii. If the ball left Kenneth's hands at a distance of 3 meters above the floor, how far from the floor will the ball be after 0.2 seconds? d. Given that the ball left Kenneth's hands 3 meters above the floor, if Kenneth misses the shot, how long will it take the ball to hit the floor? e. The ceiling of the gym has beams at a height of 15 meters above the floor. Can the ball possibly touch one of these beams? Justify your answer.
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