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

Answer:

117, 9

Step-by-step 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