Prayer 1 On the first play of a football game, the kicker kicks the ball with a

Question

Prayer 1 On the first play of a football game, the kicker kicks the ball with a speed of 30 m/s and the ball travels a distance of 63 m (about 69 yd) Part A There are two possible angles, relative to the horizontal, that the ball could have been kicked. What is the smallest of those two angles? Express your answer in degrees to two significant figures. Part B There are two possible angles, relative to the horizontal, that the ball could have been kicked. What is the largest of those two angles? Express your answer in degrees to two significant figures.

Explanation / Answer

Here ,

u = 30 m/s

range = 63 m

for the range

Range = u^2 * sin(2 * theta)/g

63 = 30^2 * sin(2 * theta)/9.8

solving for theta

theta = 43.3 degree , 46.7 degree

part A)

the smaller angle is 43.3 degree

part B)

the larger angle is 46.7 dgeree

part C) for the time of flight

for the shorter time

shorter time = 2 * u * sin(theta)/g

shorter time = 2 * 30 * sin(43.3)/9.8

shorter time = 4.2

D)

for the longer time

longer time = 2 * u * sin(theta)/g

longer time = 2 * 30 * sin(46.7)/9.8

longer time = 4.6 s

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