Concept explainers
The maximum height attained by the ball.
Answer to Problem 10SSC
Explanation of Solution
Given:
A softball is tossed in the air with an initial velocity of 11m/s at an angle of
Formula used:
Final velocity with constant acceleration can be obtained by first equation of motion:
Where,
The displacement of an object with a constant acceleration can be obtained by third equation of motion:
Where,
The rectangular components of a vector A making an angle of
Calculation:
The components of the initial velocity in the vertical and horizontal direction are:
Also, only acceleration acting on the ball is in the vertical direction which is due to gravity only, hence it can be written as
Negative sign shows that this acceleration acts in opposite direction (downward direction) to the motion of the ball.
Also, it is known that the ball comes to momentarily rest at the maximum height, thus at maximum height,
Now, considering the vertical motion of the ball to determine the time taken to attain maximum height as,
Then, the maximum height attained by the ball will be,
Conclusion:
Thus, the maximum height attained by the ball is
Chapter 6 Solutions
Glencoe Physics: Principles and Problems, Student Edition
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