Question

Mathematics 1E SESSION 1, 2018 A particle undergoing straight line motion has velocity (in ms 9. given by [10 Marks] v(t) = e2 -3e at time t seconds, where t > 0. a) Determine the initial velocity b) Show that the particle is stationary when t In 3 c) Determine an expression for a(t), the acceleration of the particle. d) Given that v(In 2)= -2 and a(ln 2) 2, determine whether the particle's speed is increasing or decreasing when t= In 2. Give reasons for your answer. If the position of the particle at t = 0 is 1 metre to the right of the origin, determine e) an expression for the displacement function of the particle Consider the function 10. f(r)cossinr [4 Marks The graph of y f(x) is given below. y=f(x) 4m 3 Evaluate the area of the shaded region, between the curve and the r-axis 4T on the interval 3

Answer 1

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