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Please answer the following question completely & correctly. (Please show all wo

ID: 1778659 • Letter: P

Question

Please answer the following question completely & correctly. (Please show all work and write neatly)

**To receive full credit, make sure you start with a sketch of the situation and list your known and unknown variables*.

A package is dropped from a helicopter traveling at 15 m/s (horizontally) at an altitude of 200m, but the parachute fails to open. 3. a. b. C. How long does it take for the package to hit the ground? How far does the package travel horizontally before it lands? What is the velocity of the package just before it hits the ground? **To receive full credit, make sure you start with a sketch of the situation and list your known and unknown variables.

Explanation / Answer

(a) Given that, h = 200 m

use the expression -

h = u*t + (1/2)*g*t^2

=> 200 = 0 + 0.5*9.81*t^2

=> t^2 = 40.775

=> t = 6.38 s

(b) Horizontal distance covered by the package during this time, d = 15 * t = 15 * 6.38 = 95.7 m

(c) Velocity of the package just before it hits the ground, v = u + a*t = 0 + 9.81*6.38 = 62.59 m/s.