A rookie quarterback throws a football with an initial upward velocity component

Question

A rookie quarterback throws a football with an initial upward velocity component of 15.2m/s and a horizontal velocity component of 18.1m/s . Ignore air resistance.

Part A

How much time is required for the football to reach the highest point of the trajectory?

Express your answer using three significant figures.

Part B

How high is this point?

Express your answer using three significant figures.

Part C

How much time (after it is thrown) is required for the football to return to its original level?

Express your answer using three significant figures.

Part D

How does this compare with the time calculated in part (a).

Express your answer using three significant figures.

Part E

How far has it traveled horizontally during this time?

Express your answer using three significant figures.

Explanation / Answer

a)  time required for the football to reach the highest point of the trajectory =Uy/g=15.2/9.8=1.551 sec (ans)

b)Height = Uy^2/2g =11.788 m (ans)

c)time (after it is thrown) required by the football to return to its original level?= 2*Uy/g =3.102 sec (ans)

d) Its twice of time calculated in a (ans)

e)horizontal distance=Ux*t =18.1 *3.102 =56.146 m (ans)

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