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julsineya
10 days ago
8

A pitching machine is programmed to pitch baseballs horizontally at a speed of 87 mph . The machine is mounted on a truck and ai

med backward. As the truck drives away from a man at a speed of 65 mph, the machine shoots a ball towards him.
For each of the object pairings listed below, determine the correct relative speed.

a - The speed of the pitching machine relative to the truck

b - the speed of the pitched ball relative to the truck

c - the speed of the pitching machine relative to him

d - the speed of the pitched ball relative to him
Physics
1 answer:
serg [1.1K]10 days ago
5 0

Answer:

A) The speed of the pitching machine in relation to the truck is 0 m/s

B) The speed of the ball in relation to the truck is 87 mph.

C) The speed of the pitching machine compared to him is 65 mph.

D) The speed of the pitched ball with respect to him is 87 mph - 65 mph = 22 mph.

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We will use the equations of rotational kinematics,

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Here, \theta and \theta _{0} denote the final and initial angular displacements, respectively, whereas \omega and \omega_{0} represent final and initial angular velocities, and \alpha is the angular acceleration.

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62.4 \ rad = 0 + \omega_{0} 4.20 \ s + \frac{1}{2} (- 25.60 \ rad/s^2) ( 4.20)^2 \\\\ \omega_{0} = \frac{220.5+ 62.4 }{4.20} =67.4 \ rad/s

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9 days ago
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