Natalie found a tennis ball outside a tennis court. She picked up the ball and threw it over the fence into the court. The path

Question

Reil [10]

4 years ago

14

Natalie found a tennis ball outside a tennis court. She picked up the ball and threw it over the fence into the court. The path

of the ball can be represents by h=-16t^2+18t+5.

Mathematics

1 answer:

jeka57 [31] · Answer 1 · 2021-12-20T15:03:37+03:00

To solve this exercise you must follow the proccedure below:

a) Find the maximum height of the tennis ball:

You have that the path of the ball can be represented by h=-16t²<span>+18t+5. Then:

t=-b/2a
t=-18/2(-16)
t=0.562
</span>
h=-16t²+18t+5
h=-16(0.562)²+18(0.562)+5
h=10.06

b) How long will it take to reach the ground?

h=-16t²+18t+5

h=0

-16t²+18t+5=0

You must apply the quadratic equation:

t=(-b±√(b^2-4ac))/2a

a=-16
b=18
c=5

When you substitute the values, you obtain:

t=1.35