Question

PLEASE IF U CAN HELP!!!! I NEED HELP FAST!!!!
Performance Task: You have been asked to prepare a demonstration in which you will analyze the act of dropping the watermelon from a height of 160 feet with an initial speed of 48 ft/sec. The height is modeled by s(t) = -16t2 – 48t + 160.

Your report needs to include answers to the following: ;
When will the watermelon strike the ground? •
What is the average speed of the watermelon from t = 0 to t = 1?
What is the instantaneous speed of the watermelon at time
t = 1?
What is the instantaneous speed of the watermelon when it strikes the ground?

Answer 1

the watermelon will strike the ground when: the height, or s(t)=0.

Answer 2

-16t2 - 48t + 160 = 0
t=-5
t=2
Time can't be negative so the watermelon strikes the ground at t = 2 seconds

Answer 3

Average speed is distance traveled over the time it took to travel:

[s(1)-s(0)]/(1-0)=(96-160)/1=-64

Answer 4

-64ft/sec that is. Sorry i'm kinga slow today, haven't done any math in a while.

Answer 5

ur just fine thank you for helping me :)

Answer 6

What is the instantaneous speed of the watermelon at time
t = 1?
V(t)=-32t-48
V(1)=-32*1-48=-80 ft/sec

Answer 7

What is the instantaneous speed of the watermelon when it strikes the ground?
It strikes the ground at t=2
V(2)=-32*2-48=-64-48=-112