Answer:
10.67 m
Step-by-step explanation:
Velocity is given as;
v(t) = t² − t − 6
To get the distance, we will integrate the velocity equation.
x(t) = ∫v(t) = (t³/3) - (t²/2) - 6t
Thus, from t=0 seconds to t=4 seconds., we have;
(t³/3) - (t²/2) - 6t between 0 and 4.
Thus;
Total Distance = [(4³/3) - (4²/2) - 6(4)] - [(0³/3) - (0²/2) - 6(0)]
Total distance = (64/3) - 8 - 24 = -10.67 m
Distance can't be negative and so we take the absolute value which is 10.67 m
The answer is a. <span>It represents a linear function because there is a constant rate of change. This can be done the opposite way, but lets use minutes as x and hours as y. Every time y increases by 1, x increases by 60. This means there is a constant rate of change of 1 (rise) over 60 (run). A linear equation must have a constant rate of change.</span>
