## Exam Style Question## Worked solutions to typical exam type questions that you can reveal gradually |

Question id: 32. This question is similar to one that appeared in an IB Standard paper in 2013. The use of a calculator is allowed.

Make a sketch of a graph showing the velocity (in \(ms^{-1}\)) against time of a particle travelling for six seconds according to the equation:

$$v=e^{\sin t}-1$$(a) Find the point at which the graph crosses the \(t\) axis.

(b) How far does the particle travel during these first six seconds?

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