The equation below models the height in feet, h, of a softball t seconds after it is hit by a batter. h = negative 16 t squared + 105 t + 3 Why is the height of the ball a function of time?

Question

Dania Riggs

Mathematics

16 December, 21:47

The equation below models the height in feet, h, of a softball t seconds after it is hit by a batter. h = negative 16 t squared + 105 t + 3 Why is the height of the ball a function of time?

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Answers (1)

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Liam Roth · Answer 1

The height of the ball was influenced by the force of the batter, but as this force ceases the only thing dragging the ball is gravity, making its height change through time. It first goes up due to the batter and then down due to gravity.

Step-by-step explanation:

When the softball is hit by the batter a force is applied to it, making it accelerate and dislocate through space. According to the equation at the moment of impact the ball was at a height of 3 units, had a speed of 105 units per second and was under the influence of the acceleration of gravity. This means that the ball's position will change as time goes on, because the force applied by the batter is ceased in the moment of impact and the only thing influencing the ball is gravity. The batter hit the ball in a way that will make it go up and forward, while gravity will drag the ball down again until it hits the ground.