SOLUTION: A baseball is hit straight upwards with an initial velocity of 76 feet per second and leaves the bat at an initial height of 2 feet. Write a formula, s(t), that models the height o

Question 357390: A baseball is hit straight upwards with an initial velocity of 76 feet per second and leaves the bat at an initial height of 2 feet. Write a formula, s(t), that models the height of the baseball after t seconds.

Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
You could start with the general formula for the height of an object (s) as a function of time (t), s(t), propelled upwards with an initial velocity () from an initial height ():
where g (constant of acceleration due to gravity) = -32 ft/sec^2. So substitute g = 32, , and

Note: The acceleration due to gravity is negative because it is in a downward direction.
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