# A centerfielder fields a ground ball and attempts to make a 210​-ft throw to home plate. Given that the center fielder commonly makes long throws at 75 ​mph, find the two possible angles at which he can throw the ball to home plate. Find the time saved by choosing the smaller angle. I need a smaller and a larger angle.

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A centerfielder fields a ground ball and attempts to make a 210​-ft throw to home plate. Given that the center fielder commonly makes long throws at 75 ​mph, find the two possible angles at which he can throw the ball to home plate. Find the time saved by choosing the smaller angle. I need a smaller and a larger angle.

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Step 1

Here distance is 210 ft travelled by a projectile fired from the ground with an angle  and v0 = 75mph = 110ft/sec is the initial velocity.

The projectile motion is:

Step 2

So, possible value of 2  is 33.74 degree and 180 – 33.74 = 146.26  and possible value of  is 16.87 degree and 73.13 degree

Therefore, the possible angles are 16.87 degree and 73.13 degree.

Step 3

Part ( b) :

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