1D/2D motion, relative velocity, projectile motion, graphs.
Test yourself on Kinematics & Projectiles
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Q1 · Kinematics & Projectiles · MEDIUM
A particle moves along the x-axis with initial velocity 4 m/s and a time-dependent acceleration a = (3 - 2t) m/s², where t is in seconds. The particle starts from the origin at t = 0. The displacement of the particle when it first comes to rest is:
Q2 · Kinematics & Projectiles · MEDIUM
A particle is projected from the ground with initial velocity 40 m/s at an angle of 53° with the horizontal. At the instant when its velocity makes an angle of 37° with the horizontal, the speed of the particle is closest to (Take sin 53° = 0.8, cos 53° = 0.6, sin 37° = 0.6, cos 37° = 0.8):
Q3 · Kinematics & Projectiles · MEDIUM
A particle starts from rest and moves along a straight line. Its acceleration varies with displacement s as a = 4s m/s². The velocity of the particle when it has travelled 3 m is:
Q4 · Kinematics & Projectiles · MEDIUM
A ball is thrown vertically upward from the ground with an initial velocity of 25 m/s. At the same instant, another ball is dropped from a height of 50 m directly above the first ball. At what height from the ground do the two balls meet? (Take g = 10 m/s²)
Q5 · Kinematics & Projectiles · MEDIUM
A particle starts from rest and accelerates uniformly along a straight line. During the nth second of its motion, it travels a distance of (2n + 1) meters. The distance traveled in the first 5 seconds is: