Question

h(t)=-16t^2+781......determine the average velocity on the interval (2,4)

Answer 1

I believe the average velocity is equal to the first derivative.

Answer 2

how'd you come to that conclusion?

Answer 3

From studying calculus- it is on p. 171 of my calc text. Plus, I'm a math teacher.

Answer 4

oh niiice thank you

Answer 5

I got 32x....is that correct?

Answer 6

yes sir!!!!

Answer 7

yesss!!!! thank you

Answer 8

thank you!

Answer 9

now i have to determine the instaneous velocity at times t=2 and t=4

Answer 10

so plug that into 32x for x. Your x is your time.

Answer 11

for both times?

Answer 12

yes. One answer per time since the velocity is changing with respect to time

Answer 13

i got 1293 is that correct?

Answer 14

For t equals 2, it should be 32 times2 = 64, and for t=4, it should be 32 times 4 = 128

Answer 15

but what about that 781?

Answer 16

The derivative of a constant is zero and the velocity is just 32t

Answer 17

oh okay I see

Answer 18

yay!