A car moves along a straight road in such a way that its velocity (in feet per second) at any time t (in seconds) is given by v (t) = 3t 9 - t2 (0 ≤ t ≤ 3).

velocity varies between 25,50 and 75 (feet per second)

Step-by-step explanation:

as t varies between 0 and 3

putting t=0

v (0) = 3 (0) 9 - 0 (2)

v (0) = 0

now putting t = 1 in the given equation

v (1) = 3 (1) 9 - (1) 2

v (1) = 27-2

V (1) = 25

now putting t = 2 in the given equation

V (2) = 3 (2) 9 - (2) 2

V (2) = 54-4

V (2) = 50

now putting t = 3 in the given equation

V (3) = 3 (3) 9 - (3) 2

V (3) = 81-6

V (3) = 75