SOLUTION: Could you please help me solve this equation: S= -16t^2 + v*t + k Using the height of 313,2 meters from the eiffel tower if a child was throwing a ball off of the eiffel tower.

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Question 327281: Could you please help me solve this equation: S= -16t^2 + v*t + k
Using the height of 313,2 meters from the eiffel tower if a child was throwing a ball off of the eiffel tower.
When a ball is thrown up into the air, it makes the shape of a parabola. The equation S= -16t^2 + v*t + k gives the height of the ball at any time, t in seconds, where “v” is the initial velocity (speed) in ft/sec and “k” is the initial height in feet (as if you were on top of a tower or building).
Make up a scenario where a ball is thrown, shot, etc. into the air. You can choose any initial velocity (in feet/sec) and any initial height (in feet) of the ball, but include them in your written scenario. The ball can leave your hand, the top of a building, etc. so you can use many different values for the initial height.

Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


You throw an egg into the air. When the egg leaves your hand at 48 feet per second initial velocity, the egg is 6 feet above the ground. When the egg splatters on the ground, you expect it to make a mess that is 8 inches in diameter. At the moment you throw the egg, an ant moving at 0.2 feet per second along the ground passes the exact spot that represents the center of the circular deposit of egg contents. Will the ant be inside or outside of the radius of the splatter at the time the egg impacts the ground?





Height of the ground is 0 feet, so the time to reach 0 feet is given by:





where , , and



This simplifies to:



Discard the negative root (who can go back in time?)



feet is the distance the ant traveled.

feet. Got him!

John


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