Concept explainers
The range of initial speeds allowed to make the basket.
Answer to Problem 69GP
The minimum speed is
Explanation of Solution
Given:
A basket ball leaves a player’s hand at a height of 2.10 m above the floor.
The distance between basket and floor is 2.60 m.
The player shoot the ball at a
A shot is made from the horizontal distance of 11.0 m with an accuracy of
Formula used:
Apply the second equation of the motion to determine the ranges of initial speeds. The formula is
Where, s is the distance,
Calculation:
At a constant speed, the projectile will move with an acceleration,
Le the player will travel a distance sd in time t .
The distance is
Minimum distance is
Maximum distance is,
When the motion is in horizontal direction, calculate distance using the formula,
Figure 1
When the motion is in vertical direction, under the constant acceleration due to gravity, then the distance travelled by projectile is,
Now, use the formula,
Substitute the values,
Further solving the terms,
Substitute 10.78 m for sd and
Substitute 11.22 m for sd and
Conclusion:
Therefore, the minimum range is
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Physics: Principles with Applications
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