Question

Please help me with the answer to this question?

Answer 1

On Earth, the quadratic relation h = -5t2 + ut + ho can be used to determine the height of an object that has been thrown as it travels through the air, measured from a reference point. In this relation, h is the height of the object in metres, t is the time in seconds since the object was thrown, u is the initial velocity, and ho is the initial height.

Myrtle throws a ball upward from a second-floor balcony, 6 m above the ground with an initial velocity of 2 m/s. In this situation, u = 2 and ho = 6, so the relation that models the height of the ball is h = -5t2 + 2t + 6. Myrtle knows that changing the velocity with which she throws the ball will change the maximum height of the ball. Myrtle wants to know with what velocity she must throw the ball to make it pass over a tree that is 11 m tall.


1. Using the graphing calculator, create a scatter plot to show the maximum heights for initial velocities of 0 m/s, 2 m/s, 4 m/s and 6 m/s. Is this relation quadratic? Explain how you know.

2. Use quadratic regression to determine the algebraic model of your scatter plot in the question above.

Answer 2

Nothing on time?

Answer 3

There should be something on time.

Answer 4

Create relations to model the height of the ball when it is thrown from a second-floor balcony with initial velocities of 4 m/s and 6 m/s. Then determine the maximum height of the ball for each relation.