A4. Ms. Whitmell wants to learn how to play football (ha ha). Mr. Robinson, one of the Phys Ed teachers, decides to explain it to her using math. He says that the formula for the trajectory of the ball is given by the equation h(t) = −4.9t² + ho + vo sin (0)t where t is the time in seconds, since the ball is thrown, ho is the starting height of the ball, and Vo is the initial velocity (starting speed) of the ball. In order for a "touch down", the ball must reach a height of 5m before 2 seconds have passed. If Ms. Whitmell throws her ball from a height of 1.65m with an initial velocity of 11 m/s and an angle of 60°, does she hit a height of 5m within 2 seconds? Initial speed Initial height Parabola Launch angle Range Yes, it hits 5m at 0.5 seconds and 1.5 seconds, so it is above 5m for 1 second. It does hit a height of 5m, but more than 2 seconds has passed. No, it does not hit a height of 5m within 2 seconds Yes, it hits 5m at its maximum, 0.97 seconds into the throw

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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A4. Ms. Whitmell wants to learn how to play football (ha ha). Mr. Robinson, one of
the Phys Ed teachers, decides to explain it to her using math. He says that the
formula for the trajectory of the ball is given by the equation
h(t) = −4.9t² + ho + vo sin (0)t where t is the time in seconds, since
the ball is thrown, ho is the starting height of the ball, and Vo is the initial velocity
(starting speed) of the ball.
In order for a "touch down", the ball must reach a height of 5m before 2 seconds
have passed.
If Ms. Whitmell throws her ball from a height of 1.65m with an initial velocity of 11
m/s and an angle of 60°, does she hit a height of 5m within 2 seconds?
Initial
speed
Initial
height
Parabola
Launch angle
Range
Yes, it hits 5m at 0.5 seconds and 1.5 seconds, so it is above 5m for 1 second.
It does hit a height of 5m, but more than 2 seconds has passed.
No, it does not hit a height of 5m within 2 seconds
Yes, it hits 5m at its maximum, 0.97 seconds into the throw
Transcribed Image Text:A4. Ms. Whitmell wants to learn how to play football (ha ha). Mr. Robinson, one of the Phys Ed teachers, decides to explain it to her using math. He says that the formula for the trajectory of the ball is given by the equation h(t) = −4.9t² + ho + vo sin (0)t where t is the time in seconds, since the ball is thrown, ho is the starting height of the ball, and Vo is the initial velocity (starting speed) of the ball. In order for a "touch down", the ball must reach a height of 5m before 2 seconds have passed. If Ms. Whitmell throws her ball from a height of 1.65m with an initial velocity of 11 m/s and an angle of 60°, does she hit a height of 5m within 2 seconds? Initial speed Initial height Parabola Launch angle Range Yes, it hits 5m at 0.5 seconds and 1.5 seconds, so it is above 5m for 1 second. It does hit a height of 5m, but more than 2 seconds has passed. No, it does not hit a height of 5m within 2 seconds Yes, it hits 5m at its maximum, 0.97 seconds into the throw
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