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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

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 & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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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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