Part E How far has it traveled horizontally during this time? Express your answe

Question

Part E

How far has it traveled horizontally during this time?

Express your answer using three significant figures.

A rookie quarterback throws a football with an initial upward velocity component of 16.0 m/s and a horizontal velocity component of 18.6 m/s . Ignore air resistance.

Part A

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

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.

Explanation / Answer

Part A)

Use equation,

Vfy=viy+a*t

At Hmax , Vfy = 0m/s

0^2=16-9.8*t       => t= 1.63s

Part B)

h=Viy*t+1/2*a*t^2 = 16*1.63+1/2*-9.8*1.62^2 = 13.22m

Part C)

Time of flight = T = 2*t = 2*1.63 = 3.26s

Part D)

T is half of the value of T

Part E)

R= Vix*T = 18.6*3.26 = 60.64m

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