If the position of a particle at time t is given by S(t)=t^3, find:

a.) the average velocity, v5, 5.1 between times t=5 and t=5.1.
b.) the average velocity, v5, 5.01 between times t=5 and t=5.01.
c.) Using the above, estimate the instantaneous velocity v(5).

Note: (5.1)^3=132.651 and (5.01)^3=125.751501

Question

If the position of a particle at time t is given by S(t)=t^3, find:

a.) the average velocity, v5, 5.1 between times t=5 and t=5.1.
b.) the average velocity, v5, 5.01 between times t=5 and t=5.01.
c.) Using the above, estimate the instantaneous velocity v(5). 

Note: (5.1)^3=132.651 and (5.01)^3=125.751501

anonymous · Answer

velocity is obtained by differentiating the given expression
so differentiate the eqn 

|dw:1346247957863:dw|

now substitute t and find the velocity..