Question

F an object moves along the​ y-axis (marked in​ feet) so that its position at time x​ (in seconds) is given by f (x )equals 117 x minus 13 x squared​, find the following.

​(A) The instantaneous velocity function v equals f prime (x )
​(B) The velocity when xequals0 and xequals3 sec
​(C) The​ time(s) when vequals0

Answer 1

117, 9

Explanation:

given that an object moves along the​ y-axis (marked in​ feet) so that its position at time x​ (in seconds) is given by

f (x )equals 117 x minus 13 x squared​,

`f(x) = 117x-13x^2`

a)Instantaneous velocity function

`v(x) = f'(x) = 117-26x`

b) When x=0 we get

`v(0) = 117` feet /sec

c) When v =0 we have

`117=13x\\x=9`

At 9 seconds velocity will be 0