The velocity (in ) of an object at seconds is given by v(t) = 8 - 3t t^2 - 6t + 10 ,…
MATHEMATICS · Multi-part · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation
Problem
The velocity (in ms−1 ) of an object at t seconds is given by
v(t)=t2−6t+108−3t,0≤t≤10.
(a) the initial speed
(b) the maximum speed
(c) the length of time for which the speed is greater than 1 ms−1
(d) the time at which the object changes direction
(e) the length of time for which the object is decelerating
(f) the acceleration after 5 seconds
(g) the distance travelled after 10 seconds
(h) the time when the object returns to its starting position.