Justify that the given graph is a distance-time graph of an object at rest. (1) 2. Suppose you are going for a trip and you boarded a bus. The bus driver asked you to wear safety

belts. Will you agree with the driver and wear safety belts? Justify your answer in the light of

Newton's first law of motion. (2)

3. An object moving with a velocity of 36 km/hr changes its velocity to 72 km/hr in 20 seconds.

Find the distance travelled by the object during this time interval using only one equation of

motion​

The center of a long frictionless rod is pivoted at the origin, and the rod is forced to rotate in a vertical plane with constant angular velocity \omega. write down the lagrangian for a bead of mass m threaded on the rod, using r as your generalized coordinate, where r, \phi are the polar coordinates of the bead. (notice that \phi is not an independent variable since it is fixed by the rotation of the rod tobe \phi = \omega * t) solve lagrange's equation for r(t). what happens if the bead is initially at rest at the origin? if it is released from any point ro > 0, show that r(t) eventually grows exponentially. explain your results in terms of the centrifugal force m* \omega ^2 *r.