6. Spymaster Chris, flying a constant 21s km/h horizontally in a low-flying heli

Question

6. Spymaster Chris, flying a constant 21s km/h horizontally in a low-flying helicopter, wants to drop secret documents into her contact's open car which is traveling 155 km/h on a level highway h-75.0 m below. is traveling 155 km/h on a levl a. What is the total time the package is in flight? (10 pts.) b. At what angle (with the horizontal) should the car be in her sights when the packet is released? (10 pts.) c. What is the final velocity of the package with respect to the car? (15 pts.) d. What is the final velocity of the package with respect to the road? (15 pts.)

Explanation / Answer

The vertical motion is given by

h =(1/2)gt2

75m =0.5*9.81t2

t =Sqrt(75/9.81*0.5) =3.910s for the package to fall

Here the package is alos moving horizontally .The helicopter has a horizontal speed greater thanthat of the car

Then the differenceis is

215-155 =60km/h=16.667m/s

Therefore the package gains a velocity of 16.667 metersevery seond horizontally

The car moves to a distance of =velocity *time =16.667*3.910s =65.166meters horizontally

Then the direction is given by

theta=tan-1(75/65.166)=49.01degrees below the horizontal

The angle with the positive x axis is 360 -49.01 =310.986 degrees

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