SOLUTION: Suppose Charlie O’Brian hits a baseball straight upward at 150ft/sec from a height of 5 feet. a) Use the formula to determine how long it takes the ball to return to Earth

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Question 150243This question is from textbook Elementary and Intermediate Algebra
: Suppose Charlie O’Brian hits a baseball straight upward at 150ft/sec from a height of 5 feet.
a) Use the formula to determine how long it takes the ball to return to Earth
b) Use the graph on the next page to estimate the maximum height reached by the ball
I have no idea how to set up the equation for the answer........
This question is from textbook Elementary and Intermediate Algebra

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
a general trajectory related formula for baseballs, golf balls, artillery shells, etc.
__ is h=-16t^2+(Vo)t+Ho __ h is the height at time (t), Vo is the initial upward (vertical) velocity
__ and Ho is the initial height

for part a), you need to find the time (t) when h=0 (return to Earth)

0=-16t^2+150t+5 __ use the quadratic formula to find t
__ HINT __ the positive value is the one you want

other HINT __ max height is approx 357'