Thread: velocity and tangent problem

The displacement (in meters) of an object moving in a straight line is given by $\displaystyle s=1+2t+\frac{t^2}{4}$ where t is measured in seconds.

Use to find average velocity:
$\displaystyle \lim_{h\to0}\frac{f(a+h)-f(a)}{h}$

1) Find average velocity over each time period.
a) [1,3]
b)[1,2]

Originally Posted by yoman360

The displacement (in meters) of an object moving in a straight line is given by $\displaystyle s=1+2t+\frac{t^2}{4}$ where t is measured in seconds.

Use to find average velocity:
$\displaystyle \lim_{h\to0}\frac{f(a+h)-f(a)}{h}$

1) Find average velocity over each time period.
a) [1,3]
b)[1,2]

You have everything you need to do written here! The rest is just arithmetic. In the first problem a= 1 and h= 3-1= 2 so that a+ h= 3.
$\displaystyle s(3)= 1+ 2(3)+ \frac{3^2}{4}$ and $\displaystyle s(1)= 1+ 2(1)+ \frac{1^2}{4}$.