When a ball is thrown u in the air, it takes the sape of a parabo;a. The equatio

Question

When a ball is thrown u in the air, it takes the sape of a parabo;a. The equation S= 16t^2 + v*t + k gives the height of the ball at any time, t in seconds, whre "v" is the intial velocity in ft/sec and "k" is the initial height in feet.Make up a scenario where a ball isthrown, sot, etc. into the air. You can coose ay initial velocity (inft/sec) and any initial heigh (infet) of the ball, but include them in your written scenario. The ball can leave the hand, thtop of a building, tec. so you can use mny differet values for the inital height. Insert the chosen valuse for "v" and "k" into the forula listed above.Use the formula t find the height of the ball at any two values of time, t, inseconds tht you want,Show your calclations and put units on your answer.

Explanation / Answer

A boy stands on top of his one story house that is 10 ft tall and throws a ball upward at an initial velocity of 2 ft/s. Find the height of the ball at 3 seconds and 5 seconds.

S= 16t^2 + 2t + 10

t=3 seconds

S= 16(3)^2 + 2(3) + 10

S= 160 ft
t=5 seconds

S= 16(5)^2 + 2(5) + 10

S= 420 ft

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