The forward motion of a SpaceX Dragon, t seconds after touchdown, is described by s(t) = 198t – ti, where s is measured in metres. a) What is the velocity of the shuttle at touchdown? b) How much time is required for the shuttle to stop completely? c) How far does the shuttle travel from touchdown to a complete stop?

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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The forward motion of a SpaceX Dragon, i seconds after touchdown, is described by
s(t) = 198t – tž, where s is measured in metres.
a) What is the velocity of the shuttle at touchdown?
b) How much time is required for the shuttle to stop completely?
c) How far does the shuttle travel from touchdown to a complete stop?
d) What is the deceleration 8 s after touchdown?
Transcribed Image Text:The forward motion of a SpaceX Dragon, i seconds after touchdown, is described by s(t) = 198t – tž, where s is measured in metres. a) What is the velocity of the shuttle at touchdown? b) How much time is required for the shuttle to stop completely? c) How far does the shuttle travel from touchdown to a complete stop? d) What is the deceleration 8 s after touchdown?
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