A vehicle moves along a straight road with velocity v(t)=100−4t meters per second for 0≤t≤20 seconds.
(a) Using 10 equal subintervals on [0,20] and the right endpoints of those subintervals, write a numerical expression that approximates the vehicle’s displacement during the 20-second interval.
(b) Evaluate the expression from part (a) to three decimal places.
(c) State the units of your answer in part (b) and interpret its physical meaning in the context of the problem.
a. (a)
b. (b)
c. (c)