Particle Kinematics: One Dimensional Motion, Graphical Methods & Relative Motion 1.A point P moves along a straight line such that its acceleration is given by a = 5s2+ 2s + 1m/s2where sis the distance moved in meters. When s = 0its speed is zero. Find its speed when s = 5 m, .
2.A particle moves along a straight line such that after a time tseconds, its velocity vis v = (15 - 8t)m/s. What is the displacement of the particle after 5 seconds, measured from the point where equals zero? Find also the total distance travelled in the 5 seconds. t
3.A city bus has a maximum speed of 100 km/h. It can accelerate from rest at a constant rate of 1.6 m/s2, and can brake with a constant deceleration of 2.0 m/s2without discomfort to the passengers. How long does the bus take to cover a distance of 200 m, starting from and finishing at rest?