I am having a lot of trouble solving this problem!

Question

A ball is thrown into the air by a baby alien on a planet in the system of Alpha Centauri with a velocity of 46 ft/s. Its height in feet after t seconds is given by y = 46 t − 15 t 2 . A. Find the average velocity for the time period beginning when t=3 and lasting .01 s: .005 s: .002 s: .001 s: NOTE: For the above answers, you may have to enter 6 or 7 significant digits if you are using a calculator. Estimate the instanteneous velocity when t=3.

Answer 1

Hope this makes pretty clear sense to you! If you're having trouble, search up "Difference Quotient" and "Instantaneous Rate of Change."

Answer 2

Hello Evelin, I will help you solve for t=3 and lasting .01s and you can try to do the rest of them.

A) Average Velocity = [h(t₂)-h(t₁)]/[t₂-t₁]

h(t₂)=46(3.01)-15(3.01²)=138.46-135.9015=2.5586

h(t₁)=46(3)-15(3)²=138-135=3

t₂-t₁=2.5586-3=-0.4414

[h(t₂)-h(t₁)]/[t_2-t₁]=[2.5586-3]/[-0.4414]=1ft/s

Follow the same steps for the rest. I hope this helped you.