2 2. Road test time-to-speed acceleration data for a 1984 Honda Civic is given in the table and graph 40 t (seconds) 0 5 10 15 20 25 30 30 v (m/s) 0 16 25 30 33 35 38 20 10 0 0 5 10 15 20 25 30 (a) Use the table to estimate the car's acceleration dt (rate of change of velocity v) at t = 15 seconds. Show your calculation, and give units with your answer. [2] (b) Draw a smooth curve through the points on the graph, and assume the line drawn is a tangent. Use this tangent to estimate the car's initial acceleration at time t =0. Again, show calculation and give units. [2] (c) State precisely what the area under the graph drawn in (b) over the interval [0,30] represents. [2]