Browse Problems
54 problems tagged with linear motion
P0217
Beginner Mechanics › KinematicsAnalyzing Motion from Consecutive Displacements
An object moves along a straight line. Starting from a certain moment, the distances it travels in consecutive equal time intervals are 3 m, 9 m, 15 m, 21 m, and 27 m.
- Is the motion uniformly accelerated?
- Is it uniformly accelerated motion with zero initial velocity?
- Provide reasoning for your answers.
P0284
Intermediate Mechanics › KinematicsSymbolic Free-Fall Building Height Calculation
A ball is dropped from a building's roof. It passes a window of height $h_w$, taking time $t_w$ to fall from top to bottom. It then falls to a sidewalk, bounces, and returns past the window. The total time the ball spends below the bottom of the window is $T$. Assume the upward flight is a perfect reversal of the downward flight.
P0991
Advanced Mechanics › KinematicsFree Fall: Last Second Covers One Third
A freely falling body, released from rest, covers a distance equal to $\frac{1}{3}$ of its total path during the last second of its fall. Take $g = 9.8$ m/s$^2$.
- Find the total time of the fall.
- Find the height from which the body falls.
P1001
Advanced Mechanics › KinematicsFastest Straight Chute Down to Incline
A small ball starts from rest at point $O$ located above an inclined plane of inclination angle $\theta$ and slides down a smooth straight chute $OA$ that ends on the incline.
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