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Problem 3.66Small-plane pilots regularly compete in “message drop”

Problem 3.66Small-plane pilots regularly compete in “message drop” competitions, dropping heavy weights

(for which air resistance can be ignored) from their low-flying planes and scoring points for having the weights land close to a target. A plane 75 m  above the ground is flying directly toward a target at  48 m/s .

Part A

At what distance from the target should the pilot drop the weight?

Δx = 

Part B

The pilot looks down at the weight after she drops it. Where is the plane located at the instant the weight hits the ground?

 A. not yet over the target

 B. past the target

 C. directly over the target

 D. not enough information to determine

Problem 3.67

In the Olympic shot-put event, an athlete throws the shot with an initial speed of 12.0 m/s at a 40.0 ∘ angle from the horizontal. The shot leaves her hand at a height of 1.80 m above the ground.

Part A

How far does the shot travel?

Express your answer using four significant figures

L0 = 

Part B

Repeat the calculation of the first part for angle 42.5 ∘.

Express your answer using four significant figures.

L1 = 

Part C

Repeat the calculation of the first part for angle 45 ∘ .

Express your answer using four significant figures.

L2 = 

Part D

Repeat the calculation of the first part for angle 47.5 ∘ .

Express your answer using four significant figures.

L3 = 

Part E

At what angle of release does she throw the farthest?

Express your answer using three significant figures.

θ = 

 
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