Question

Suppose that an object is traveling along a straight line. Suppose that its position function is given by
f(t) = 5t^3 +11t
where t is in seconds.
Find the object's instantaneous acceleration at t=9 seconds.
182
210
244
270
305

Answer 1

a is the second derivative of position with respect to time
\[\frac {df} {dt}= 15t^{2}+11\]\[\frac {d^{2}f}{dt{^2}}=30t=30(9)=270\]