1. A football is kicked and the height in metres after the time in seconds is given by h = 35 + 24t – 5t2. Answer step-by-steps. a. How long, to the nearest hundredth of a second, will the ball be in the air before it lands on the ground? Solve using the quadratic formula. b. How long is the ball in the air, to the nearest hundredth of a second, for the ball to reach a height of 10 m? Solve using the quadratic formula. c. Why do you disregard one of the roots in parts a) and b)?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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1. A football is kicked and the height in metres after the time in seconds is given by h = 35 + 24t – 5t2. Answer step-by-steps.

a. How long, to the nearest hundredth of a second, will the ball be in the air before it lands on the ground? Solve using the quadratic formula.

b. How long is the ball in the air, to the nearest hundredth of a second, for the ball to reach a height of 10 m? Solve using the quadratic formula.

c. Why do you disregard one of the roots in parts a) and b)?

 

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