1. A delivery rider is travelling along a horizontal line such that its directed distance from his home at any time t (in hours) is given by s(t) = t - 12t² + 45t – 37 (in kilometers). Assume that at the instant when he changes direction, the rider drops off a parcel. (a) At which time interval(s) did the rider speed up? (b) How much is the total distance travelled by the rider at the instant when he dropped off the second parcel?
1. A delivery rider is travelling along a horizontal line such that its directed distance from his home at any time t (in hours) is given by s(t) = t - 12t² + 45t – 37 (in kilometers). Assume that at the instant when he changes direction, the rider drops off a parcel. (a) At which time interval(s) did the rider speed up? (b) How much is the total distance travelled by the rider at the instant when he dropped off the second parcel?
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Transcribed Image Text:1. A delivery rider is travelling along a horizontal line such that its directed distance from
his home at any time t (in hours) is given by s(t) = t3- 12t² + 45t – 37 (in kilometers).
Assume that at the instant when he changes direction, the rider drops off a parcel.
(a) At which time interval(s) did the rider speed up?
(b) How much is the total distance travelled by the rider at the instant when he dropped
off the second parcel?
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