SOLUTION: Shelly throws her keys up into the air, releasing them from a height of 4 ft. above the ground with an initial velocity of 32 ft/sec. a. Write and equation representing the hei

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Question 558732: Shelly throws her keys up into the air, releasing them from a height of 4 ft. above the ground with an initial velocity of 32 ft/sec.
a. Write and equation representing the height of the keys in terms of time?


Above on the WS it gives two equations for velocity both equaling h-height. This is why i am confused.

Found 2 solutions by ankor@dixie-net.com, Earlsdon:
Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
Shelly throws her keys up into the air, releasing them from a height of 4 ft. above the ground with an initial velocity of 32 ft/sec.
a. Write and equation representing the height of the keys in terms of time?
h(t) = -16t^2 + 32t + 4
:
graphically

Answer by Earlsdon(6294)   (Show Source): You can put this solution on YOUR website!
Start with the function for the height, as a function of time, (h(t), of an object propelled upwards from an initial height of with an initial velocity of .
where: g (acceleration due to gravity) = 32ft/sec.squared.
Substitute: and .
Note that the negative comes from the fact that gravity is acting downward.

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