Mathematics

Mathematics

Problem

A particle moves in a straight line, with the velocity at time tt seconds given by v=sin⁡tt+1v = \frac{\sin t}{\sqrt{t+1}} m s-1. a. a Find the distance travelled by the particle in the first five seconds of motion, giving your answer to one decimal place. b. b Find the first two times when the magnitude of acceleration is 0.3 m s−20.3 \text{ m s}^{-2} .

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