SOLUTION: a boy jumps from a diving board at the pool. The board is 1.5 meters above the surface of the water. He bounces up in the air and then fall dowsn into the water. Exactly 2.0 seocnd

Algebra ->  Expressions -> SOLUTION: a boy jumps from a diving board at the pool. The board is 1.5 meters above the surface of the water. He bounces up in the air and then fall dowsn into the water. Exactly 2.0 seocnd      Log On


   

Question 1164086: a boy jumps from a diving board at the pool. The board is 1.5 meters above the surface of the water. He bounces up in the air and then fall dowsn into the water. Exactly 2.0 seocnds pass from the time the boys' feet leave the baord to the time his feet hit the water
A) find the initial velocity
B) find the final velocity upon reaching the water
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


For a projectile launched vertically from near the earth's surface the function describing the height at time is:



Where is the acceleration due to the force of gravity which is in the mks system, is the initial velocity, and is the initial height.

Plugging in the values you have:



For part A, solve for

For part B, instantaneous velocity is the value of the first derivative at any given instant, so:




Insert the result of part A for and then evaluate at

John

My calculator said it, I believe it, that settles it