Question

In: Physics

You shoot an arrow into the air at an initial velocity of 12.5m/s at an angle...

You shoot an arrow into the air at an initial velocity of 12.5m/s at an angle of 40º.

  1. Find the maximum height the arrow reaches in the air.
  2. Find the time it takes to reach its maximum height.
  3. Find the time it takes to hit the ground. Assume its flight in the air is symmetrical, with the first half of flight traveling upward, and the 2nd half of flight traveling downward.
  4. Find how far away it hits the ground.

Solutions

Expert Solution

Given:

Initial launch velocity of the arrow,

Launch angle,

-------------

Find the maximum height the arrow reaches in the air.

Use formula

ANSWER:

============================

Find the time it takes to reach its maximum height.

Consider the vertical motion of the arrow

Use formula

At maximum height, vertical velocity becomes zero

Initially, the arrow is going up and g is acting downwards. So put a negative sign for g.

ANSWER:

=========================

Find the time it takes to hit the ground.

Use the formula to find the time of flight

ANSWER:

===========================

Find how far away it hits the ground.

Use the formula to find the range of the arrow.

ANSWER:

==================================

genius_generous answered 2 years ago
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