Question

CAN SOMEONE PLEASE HELP ME WITH ONE QUESTION?????? PLEASE??????

A basketball is thrown upwards. The height f(t), in feet, of the basketball at time t, in seconds, is given by the following function:

f(t) = -16t2 + 94t + 12

Which of the following is a reasonable domain of the graph of the function when the basketball falls from its maximum height to the ground?

3 < t < 6
2 < t < 5
1 < t < 4
0 < t < 3

Answer 1

im thinking its the first one but Im not sure

Answer 2

Are you sure the sign is \[<\] and not\[\le\]

Answer 3

yes im sure

Answer 4

ok in that case I'm going to say that it's D

Answer 5

are you sure it's D?

Answer 6

im not sure its D either

Answer 7

could you explain how?

Answer 8

yeah can you explain

Answer 9

when does time start?

Answer 10

time starts at 0?

Answer 11

ideally yes :) if we had a stop watch and pressed it to start ... it starts at 0

Answer 12

now, when do we stop the watch? when the ball hits the ground right?

Answer 13

yeah

Answer 14

then hopefully we can chk to see that t=3 gives us a height of about 0

Answer 15

and the function is f(t) = -16t^2 + 94t + 12 just incase

Answer 16

how is t = 3?

Answer 17

rereading the question ... i assumed something off. same concept tho

Answer 18

the max height of the ball happens at the vertex of the parabola

Answer 19

how do we find the vertex?

Answer 20

to find the vertex i have to use a formula hold on

Answer 21

t = -b/ 2(a)

Answer 22

thats a good formula, and when we use it we come to about 3

when t=3 the ball is at its highest point and start to fall.

so 3 to whatever should be our domain

Answer 23

ok so it would be the last one?