If a stone is dropped from a height of 404 feet, its height after t seconds is given by . Find the stone s average velocity over the period 2, 4 .
A)-50
B)-45
C)-48
D)-49
E)-46

Question

If a stone is dropped from a height of 404 feet, its height after t seconds is given by  . Find the stone s average velocity over the period 2, 4 .
A)-50 
B)-45 
C)-48 
D)-49 
E)-46

Quizplus · Accepted Answer

First, we need to find the equation for the velocity function. The height function is given by:
h(t) = 404 - 16t^2

We can find the velocity function by taking the derivative of the height function:
v(t) = h'(t) = -32t

Now, we need to find the average velocity over the interval [2,4]:
avg. velocity = (1/2)(v(2) + v(4))
avg. velocity = (1/2)(-64 + (-128))
avg. velocity = -96/2
avg. velocity = -48

Therefore, the answer is C.

If a Stone Is Dropped from a Height of 404