1-D and 2-D kinematics, projectile motion, relative velocity, uniform circular motion.
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Q1 · Motion in a Straight Line and Plane (Class 11 — ~20% weight) · EASY
A car travels the first half of a distance between two places at a speed of 40 km/h and the second half of the distance at 60 km/h. What is the average speed of the car for the whole journey?
Q2 · Motion in a Straight Line and Plane (Class 11 — ~20% weight) · MEDIUM
A projectile is fired at an angle of 30° with the horizontal with a velocity of 40 m/s. What is the maximum height reached by the projectile? (Take g = 10 m/s²)
Q3 · Motion in a Straight Line and Plane (Class 11 — ~20% weight) · HARD
Two trains A and B are moving on parallel tracks. Train A is moving at 72 km/h towards north and train B is moving at 54 km/h towards south. A passenger in train A observes that train B crosses him in 6 seconds. What is the length of train B?
Q4 · Motion in a Straight Line and Plane (Class 11 — ~20% weight) · MEDIUM
A particle moves along a straight line such that its displacement x at time t is given by x = 4t² – 2t + 5 (all in SI units). The acceleration of the particle is:
Q5 · Motion in a Straight Line and Plane (Class 11 — ~20% weight) · HARD
A projectile is fired at an angle of 30° with the horizontal with speed 40 m/s. The maximum height reached by the projectile is: (Take g = 10 m/s²)