Homework SourseA ball is thrown into the air by a baby alien on a planet in
A ball is thrown into the air by a baby alien on a planet in the system of Alpha Centauri with a velocity of 34 ft/s. Its height in feet after t seconds is given by y=34t-16t^2.
A. Find the average velocity for the time period beginning when t=1 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=1. ______?
A. Find the average velocity for the time period beginning when t=1 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=1. ______?
Solution
first find velocity function;
dy/dt = 34-32t;;
so now average velocity = [(34-32t)dt]/[dt];
limits for both numerator and denominator are the limits of the time interval;
so the denominator becomes just the length of the time interval;
for case I ;
<v> = 34t-32t2]00.01 /0.01;
= 0.3368/0.01 = 33.68 m/s ------------->ANSWER;
similarly you can calulate for other time cases;
next part, instantaneous velocity = dy/dt = 34-32t @ t=1;
v= 34-32 = 2m/s-------------->ANSWER
