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

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> 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      Log On


   

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) About Me  (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 (v%5B0%5D) from an initial height (h%5B0%5D):
s%28t%29+=+%281%2F2%29gt%5E2%2Bv%5B0%5Dt%2Bh%5B0%5D where g (constant of acceleration due to gravity) = -32 ft/sec^2. So substitute g = 32, v%5B0%5D+=+76, and h%5B0%5D+=+2
highlight%28s%28t%29+=+-16t%5E2%2B76t%2B2%29
Note: The acceleration due to gravity is negative because it is in a downward direction.