a straight road up to her office . km away, stays at the office up to . pm, and returns home by an auto with a speed of km h – . Choose suitable scales and plot the x - t graph of her motion.
. A drunkard walking in a narrow lane takes steps forward and steps backward, followed again by steps forward and steps backward, and so on. Each step is m long and requires s. Plot the x - t graph of his motion.
Determine graphically and otherwise how long the drunkard takes to fall in a pit m away from the start. . A car moving along a straight highway with speed of km h – is brought to a stop within a distance of m. What is the retardation of the car (assumed uniform), and how long does it take for the car to stop ?
. A player throws a ball upwards with an initial speed of . m s – . (a) What is the direction of acceleration during the upward motion of the ball ?
(b) What are the velocity and acceleration of the ball at the highest point of its motion ? (c) Choose the x = m and t = s to be the location and time of the ball at its highest point, vertically downward direction to be the positive direction of x -axis, and give the signs of position, velocity and acceleration of the ball during its upward, and downward motion. (d) To what height does the ball rise and after how long does the ball return to the player’s hands ? (Take g = .
m s – and neglect air resistance). . Read each statement below carefully and state with reasons and examples, if it is true or false ; A particle in one-dimensional motion (a) with zero speed at an instant may have non-zero acceleration at that instant (b) with zero speed may have non-zero velocity, (c) with constant speed must have zero