Motion and Graphs Exam Prep
Full explanation, worked examples & memory tricks in the app
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Full explanation, worked examples & memory tricks in the app
Every question in the paper gets a full exam-length answer in the app — organised by marks, the way a topper writes it.
(d) To what height does the ball rise and after how long does the ball return to the player's hands? (Take g = 9.8 m/s² and neglect air resistance).
Height = 42.14 m; Total time = 6 s.
The full exam-length answer is in the app.
Choose suitable scales and plot the x-t graph of her motion.
Plot the graph with time on the x-axis and distance on the y-axis, marking the segments for walking and auto travel.
The full exam-length answer is in the app.
Plot the x-t graph of his motion. Determine graphically and otherwise how long the drunkard takes to fall in a pit 13 m away from the start.
Graph the motion, calculate total distance covered per cycle, and determine time taken to reach 13 m.
The full exam-length answer is in the app.
What is the retardation of the car (assumed uniform), and how long does it take for the car to stop?
Retardation = 10.89 m/s²; Time to stop = 12.5 s.
The full exam-length answer is in the app.
(c) Choose the x = 0 m and t = 0 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.
Position (upward) = positive; Velocity (upward) = positive, (downward) = negative; Acceleration = negative throughout.
The full exam-length answer is in the app.
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.
True; an object can have zero speed and still accelerate, e.g., at the peak of a thrown ball.
The full exam-length answer is in the app.
(b) with zero speed may have non-zero velocity.
False; zero speed means zero velocity.
The full exam-length answer is in the app.
(c) with constant speed must have zero acceleration.
True; constant speed indicates zero acceleration.
The full exam-length answer is in the app.
(d) with positive value of acceleration must be speeding up.
False; if moving in the opposite direction, it could be slowing down.
The full exam-length answer is in the app.
(a) What is the direction of acceleration during the upward motion of the ball?
The direction of acceleration is downward.
The full exam-length answer is in the app.
(b) What are the velocity and acceleration of the ball at the highest point of its motion?
Velocity = 0 m/s; Acceleration = -9.8 m/s².
The full exam-length answer is in the app.
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