I need clear step by step help with this problem. I have set it up to the best o

Question

I need clear step by step help with this problem. I have set it up to the best of my ability and am having trouble understanding what to do. Please solve with terms I have written down so I can follow. Thank you!

Magnitude(m/2): q.8 m1 Direction: Down (b) After 0.48 s, how far beneath the top of the cliff is the stone? (Give just the distance fallen, that is, a magnitude in m.) 4. A swimmer bounces straight up from a diving board and falls feet first into a pool. She Vo 4.Gom(e) How long are her feet in the air (in second02 starts with a velocity of 4.00 m/s, and her takeoff point is l. 40 m above the pool. air (in seconds)? .up Vf = 3D (b) What is her highest pointabove the board (in meters))? A7 a9.8 (c) What is her velocity when her feet hit the water (in m/s)? An inflatable raft (unoccupied) floats down a river at an approximately constant speed 5. of 4.5 m/s. A child on a bridge, 68 m above the river, sees the raft in the river below and attempts to drop a small stone onto the raft. The child releases the stone from rest. In order for the stone to hit the raft, what must be the horizontal distance between the raft and the bridge when the child releases the stone(in meters)?

Explanation / Answer

5. Stone was dropped from rest so intitial vertical velocity.

v0y = 0

ay = - 9.8 m/s^2

as it reaches to water surface, vertical displacement y = 0 - 68 = - 68 m

y = v0y t + ay t^2 / 2

- 68 = 0 - 9.8 t^2 /2

t = 3.72 sec

this is time, stone will take to reach water.

so this is the time that raft have to reach below the bridge.

x = v t = 4.5 x 3.72

x = 16.7 m

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