College Physics
Solutions
College Physics
A football quarterback is moving straight backward at a speed of 2.00 m/s when he throws a pass to a player 18.0 m straight downfield. (a) If the ball is thrown at an angle of 25° relative to the ground and is caught at the same height as it is released, what is its initial speed relative to the ground? (b) How long does it take to get to the receiver? (c) What is its maximum height above its point of release?
(a)
The initial speed of ball relative to the ground.
Given info:
Quarterback speed relative to the ground
Let the initial speed of ball relative to the ground be
Horizontal distance or Range
Angle of projectile
Acceleration due to gravity
Formula used:
(i) Time of Flight is given as
  
(ii) x − component of ball relative to ground
  
(iii) Horizontal distance or Range for the given projectile is given as
  
Here, all alphabets are in their usual meanings.
Calculation:
Now, from equation (i), (ii) and (iii) we have
Horizontal distance or Range for the given projectile
  
(b)
Total time taken by the ball to reach the receiver
(c)
Maximum height reached by the ball from where it has released
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