Question

8. Find the instantaneous velocity of the particle described in Figure P2.1 at the following times: (a) t = 1.0 s, (b) t = 3.0 s, (c) t = 4.5 s, and (d) t = 7.5 s. x (m) 10 - 6 il -2 -4 -6 Figure P2.1 Problems 1 and 8.

Answer 1

Slope of x v/s t gives instantaneous velocity at t = 1 sec, slope = 4 so, v = 4 m/s at t = 3 sec, velocity will be slope of line AB = -5/2 = 2.5 velocity = -2.5 m/s at t = 4.5 sec, slope = 0 velocity = 0 t = 7.5 sec velocity = slope of ED 6/1 = 6 m/s

Answer 2

Use the data in problem 2.2to construct a smooth graph of position versus time .(b) by constructing tangents to the x(t) curve find the instantaneous velocity of the car at several instants .(c)plot the instantaneous velocity versus time and from the graph determine the average acceleration of the car .(d) what was the initial velocity of the car