SOLUTION: Jennifer, standing just outside her apartment building, throws a baseball upward from an initial height of 10 feet above the ground level at an initial velocity of 45 ft/sec. The h

Question 1171339: Jennifer, standing just outside her apartment building, throws a baseball upward from an initial height of 10 feet above the ground level at an initial velocity of 45 ft/sec. The height of the baseball in terms of elapsed time is a quadratic relationship. The generalized equation is
f(x)=-16x^2+v0x+h0 where v0 represents the initial velocity and h0 represents the initial height. Lindsey, on her fourth floor balcony 50 feet above ground level, launches her drone helicopter that ascends at a constant rate of 23ft/sec. If Jennifer throws the baseball at the same time that Lindsey begins the ascent flight of her helicopter, write a system of equations that could be used to determine at what time(s) and height(s) the baseball would possibly strike the helicopter.

Answer by ikleyn(52782) (Show Source): You can put this solution on YOUR website!
.


The equation for baseball is 


     = -16t^2 + 45t + 10.    (1)


(I prefer to use " t " for time instead of x in your formula).


The equation for the drone is


     = 50 + 23*t.     (2)


Notice indexes  "b" for baseball and "d" for the drone.


To investigate the possible collision, you don't need a system of equations.


You need ONLY ONE equation, instead


    -16t^2 + 45t + 10 = 50 + 23*t


saying that two objects are at the same height at the same time.

Solved.

I answered all your questions and provided all necessary explanation in the most detailed and clear form.

/\/\/\/\/\/\/

It is NOT RECOMMENDED to throw baseball standing just outside the apartment building.

The consequences can be UNPREDICTABLE.

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