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You are watching an archery tournament when you start wondering how fast an arrow is shot...

You are watching an archery tournament when you start wondering how fast an arrow is shot from the bow. Remembering your physics, you ask one of the archers to shoot an arrow parallel to the ground. You find the arrow stuck in the ground 65.0 m away, making a 2.8 ∘ angle with the ground. Ignore all possible aerodynamic effects on the motion of the arrow. Use 9.80 m/s2 for the acceleration due to gravity.

a-For how much time was the arrow in the air? Hint: use the horizontal and vertical problems to arrive at two equations in two unknowns (for example, the landing speed and the time of flight).

b-What was the landing speed of the arrow? Hint: save this number in your calculator; you will need it for a later part.

c-How fast was the arrow shot?

d-What is the absolute value of the difference between the landing speed of the arrow and its launch speed? Hint: to get this part correct, you will need to use the answers to Parts B and C as saved in your calculator.

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