Question

Using our quadratic equation knowledge match the following scenarios.

____ 1. Hitting a golf ball on the moon
____ 2. Hitting a golf ball on Earth from the top of a tall building
____ 3. Hitting a baseball on Jupiter
____ 4. Hitting a baseball on Earth by a bionic man
____ 5. Hitting a baseball on Earth by a 10 foot tall person
A. h(x)=-16x^2+500x+4
B. h(x)=-50x^2+50x+4
c. h(x)=-8x^2+100x
D. h(x)=-16x^2+75x+8
E. h(x)=-16x^2+150x+300

Answer 1

1. A

2. E

3. B

4. C

5. D

Explanation:

1. Hitting a golf on the moon will give higher max height and farther distance due to low gravity. Equation A show 500x giving sum of root (SOR) -500/16 the highest sum among other showing that the distance between roots are larger

2. Hitting golf on top of tall building will have initial height higher compared from the rest. By subs x=0, the highest initial height is equation E with h = 300

3.jupiter has stronger gravity compared to earth and moon, hence max height will be lower than Moon and earth. The lowest max height is shown on equation B

4. A bionic man can hit stronger hence must have higher max height compared to the tall man. Either C or D. Choose C since the maximum height is higher than D

5. A 10 foot person has higher height compared to normal. At x = 0, h(x) for D is 8 which is around the arm height of the tall person. And the maximum hitting height of equation D is relatively lower than C. So option D is more logical for this tall person.