Question

For the following velocity graph, velocity is in m/s and time is in What is the acceleration of the object (i) between t = 0 and t = 1s; (ii) between t = 1s and t = 2s; (iii) between t = 2s and f = 5s; (iv) between t = 5s and t = 6s? If the object is initially at x = -5m, what is its position at t = Is, t = 2s, t = 5s, and t = 6s? Draw the corresponding x vs t graph. Assume the object is initially at x = -5m. Your graph should be exact, i.e., the position of the particle at the end of each segment must be correctly represented, as well as the curvature and the slope of each part of the graph. Two boats are headed across a calm bay in the same direction. West One is a sailboat, and sudden change in the wind causes it to experience an acceleration to the East The other is a motorboat, which is unaffected by the wind and is still accelcrating to the West After a small period of time, delta t, both have the same velocity Draw a graphical representation of their velocities as a function of time Which, if either, toat is spewing up? Whv do you say this? Which boat is initially going faster7 Justify your answer In the time delta t which one went farther? Justify your answer

Answer 1

slope of velocity-time graph gives the acceleration between o to1 sec dv 5-1 dt 1 (ii) between 1sec to2sec acceleration -0 as velocity is constant 122 acceleration in between 2 to 5sec 5-2 (iv) accelerati on in between 5 to 6sec is zero as the velocity is constant during this interval of time.