Aball 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=46t−19t2. a. find the average velocity for the time period beginning when t=3 and lasting
.01 s:
.005 s:
.002 s:
.001 s:

The average velocities are:

for 0.01.s

for 0.005 s

for 0.002 s

for 0.001 s

Explanation:

The average velocity is given by

So, we just need to find the position at t = 3 s and then, after every period of time.

Knowing that

at t = 3 s we have

After 0.01 s the position will be

So, the average velocity will be

The minus sign is there cause the velocity is pointing downward.

After 0.005 s the position will be

So, the average velocity will be

After 0.002 s the position will be

So, the average velocity will be

After 0.001 s the position will be

So, the average velocity will be

the correct choice is a .

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