The Way to Scuba Dive
Scuba Diving Adventuring
Divers Supplies
I need help with this assignment?
An airplane traveling 1013 m above the ocean at 100 km/h is to drop a box of supplies to shipwrecked victims below.
(a) How many seconds before being directly overhead should the box be dropped?
(b) What is the horizontal distance between the plane and the victims when the box is dropped?
6.Divers in Acapulco dive from a cliff that is 60 m high. If the rocks below the cliff extend outward for 25 m, what is the minimum horizontal velocity a diver must have to clear the rocks?
7.A dart player throws a dart horizontally at a speed of 12.3 m/s. The dart hits the board 0.32 m below the height from which it was thrown. How far away is the player from the board?
8.A student is playing with a radio-controlled race car on the balcony of a sixth-floor apartment. An accidental turn sends the car through the railing and over the edge of the balcony. Does the time it takes the car to fall depend upon the speed it had when it left the balcony?
(a)
Dy = 1/2A*t^2 + Vy*t, but Vy = 0, so t = sqrt(Dy/(1/2 A))
Dy = -1013 m, A = -g (both negative since downward)
t = sqrt(1013/4.9) = 14.38 s
(b) Dx = Vx*t
Vx = 100 km/h = 27.78 m/s
Dx = 27.78*14.38 = 399.4 m
6. Dy = 1/2A*t^2 + Vy*t
A = -g, Dy = -60 m, Vy is not specified. If they jump up when they dive, they have more time to clear the rocks. But we have to assume they just run straight off the edge, so Vy = 0, and t = sqrt(60 m/(1/2*g)) = 3.5 s.
To go > 25 m, Dx = Vx*t > 25 m, so Vx > 25 m/3.5 s = 7.14 m/s
7. Dy = 1/2 A*t^2 + Vy*t, Vy = 0 (thrown horizontally),
so t = sqrt(Dy/(1/2*g)) = sqrt(0.32/4.9) = 0.256 s
Dx = Vx*t = 12.3 m/s*0.256 s = 3.14 m
8. Dy = 1/2 A*t^2 + Vy*t.
By now you should see that the motion in the y (vertical) direction depends only on the initial velocity in the y direction, the distance to fall in the y direction, and the acceleration in the y direction. The speed in the x direction has nothing to do with it.
the alastor wreck 2009 (shore dive)
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