Question

1. For each value below, enter the number correct to four decimal places.

Suppose an arrow is shot upward on the moon with a velocity of 57 m/s, then its height in meters after tt seconds is given by h(t)=57t−0.83t2h(t)=57t-0.83t2. Find the average velocity over the given time intervals.

[4, 5]:     

[4, 4.5]:     

[4, 4.1]:     

[4, 4.01]:     

[4, 4.001]:     

2. A ball is thrown into the air by a baby alien on a planet in the system of Alpha Centauri with a velocity of 23 ft/s. Its height in feet after t seconds is given by y=23t−28t2y=23t-28t2.

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