William Tell must split the apple on top of his son’s head from a distance of 27 m. When

Chapter 3, Problem 53GP

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QUESTION:

Problem 53GP

William Tell must split the apple on top of his son’s head from a distance of 27 m. When William aims directly at the apple, the arrow is horizontal. At what angle should he aim the arrow to hit the apple if the arrow travels at a speed of 35 m/s?

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QUESTION:

Problem 53GP

William Tell must split the apple on top of his son’s head from a distance of 27 m. When William aims directly at the apple, the arrow is horizontal. At what angle should he aim the arrow to hit the apple if the arrow travels at a speed of 35 m/s?

ANSWER:

Solution 53GP:

Step 1 of 2:-

Here we have to find the angle at which the arrow has to be aimed.

As there is no control on the arrow after releasing from the hand, it’s a projectile motion.

The horizontal range of the projectile here is: .

We know the formula for the horizontal range which is:

------------(1)

Where v is the initial velocity.

is the angle of firing.

G is the acceleration due to gravity.

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