Concept explainers
(a)
The value of angle formed by initial velocity vector with horizontal.
(a)
Answer to Problem 102P
Explanation of Solution
Given data:
Final height of ball just above the plate
Range
Initial speed of ball
Formula used:
Vertical position of ball in terms of time
Calculation:
The horizontal distance covered is given as
The vertical position can be written as
From equation (1), put
Now, substitute the values of respective parameters in equation
By squaring both sides,
After solving the above equation, the value of
By taking the positive sign
Conclusion:
The velocity and the horizon made an angle is
(b)
The value of speed with which ball crosses plate.
(b)
Answer to Problem 102P
Explanation of Solution
Given data:
Final height of ball just above the plate
Range
Initial speed of ball
Formula used:
Speed is given by
Calculation:
The horizontal component of velocity is
The vertical component of velocity is
Substitute these values into speed formula
Conclusion:
The velocity of the ball over the plate is
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Chapter 3 Solutions
Physics for Scientists and Engineers, Vol. 3
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