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Chapter 3: Q56PE (page 124)

A football quarterback is moving straight backward at a speed of2.00m/s when he throws a pass to a player18.0m straight downfield. The ball is thrown at an angle of role="math" localid="1668669019911" 25orelative to the ground and is caught at the same height as it is released. What is the initial velocity of the ball relative to the quarterback?

Short Answer

Expert verified

The velocity of the ball relative to the quarterback is 17.2 m/s.

Step by step solution

01

Definition of velocity

The directional speed of an item in motion is an indication of its rate of change in position, as seen from a specific point of view and measured by a specific time standard

02

Stating given data

The speed of the football moving backward is -2m/s.

The quarterback will release the ball at angle of 25o.

The distance travelled by the ball is18.0 m.

03

Calculating initial velocity of ball relative to quarterback

The initial velocity of the ball relative to the Earth

Rx=Vi2sin2胃g18=(Vi)2sin2(25)9.8Vi2=231Vi=15.2m/s

The velocity of the ball relative to earth is 15.2m/s.

The velocity of the ball relative to quarterback

Vbq=Vbe+VeqVbq=15.2+(2)..........[Veq=Vqe]Vbq=17.2m/s

Hence the velocity of the ball relative to the quarterback is 17.2m/s.

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