After a recent hurricane, many areas in the interior of Puerto Rico were inacces

Question

After a recent hurricane, many areas in the interior of Puerto Rico were inaccessible by road. In order to quickly distribute rescue supplies, a helicopter is flying horizontally 45.0 m above the island at 35.0 mph (15.6 m/s) and drops 14.5 kg relief packages. The shape of the parachute is designed such that the package experiences negligible horizontal air resistance but descends with a constant acceleration of 4.5 m/s^2.

a) what shape is the trajectory of the fall?

b) how long will a package take to reach the ground?

c) how far infront of a target should a package be released?

d) if the package was dropped vertically from a higher height, it would reach a terminal speed of 30 m/s. what is the drag constant, D, of the package?

Explanation / Answer

a)projectile motions without air resistance have parabolic trajectory

b)time taken to reach ground=sqrt(2*45/4.5)=4.47 seconds

c)horizontal distance travelled=15.6*4.47=69.76 meters

Therefore , answer is 69.76 meters ahead of target

d)14.5*4.5 =(0.5)C*30²

C=0.145

Drag constant is 0.145

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.