The velocity function is ,
is measured in feets per second.
Find acceleration of the object.
\The acceleration of the object is .
.
Apply derivative on each side with respect to .
Quotient rule of derivatives : .
The acceleration function is .
(a)
\Find acceleration at seconds.
The acceleration function is .
Substitute in the acceleration function.
ft/sec2.
(b)
\Find acceleration at seconds.
The acceleration function is .
Substitute in the acceleration function.
ft/sec2.
(c)
\Find acceleration at seconds.
The acceleration function is .
Substitute in the acceleration function.
ft/sec2.
The acceleration function is .
(a) Acceleration at seconds is
ft/sec2.
(b) Acceleration at seconds is
ft/sec2.
(c) Acceleration at seconds is
ft/sec2.