Motion In A Straight Line Mock Tests

A particle moves such that its position vector is given by r⃗ = (3t² + 2t)î + (4t - t³)ĵ. The acceleration of the particle at t = 2 s is:

A particle moves in a straight line such that its velocity v (in m/s) is related to its displacement s (in m) by the equation v = 2s + 3. What is the acceleration of the particle when s = 2 m?

A particle moves along a straight line. Its position-time graph is a parabola opening upwards with vertex at (t = 2 s, s = 0 m). The particle passes through the point (t = 4 s, s = 8 m). What is the acceleration of the particle?

A body is projected vertically upward with initial velocity u. The maximum height reached is:

In an elastic collision between two bodies:

A car travels from point A to point B, a distance of 120 km, at a constant speed of 60 km/h. It returns from B to A along the same path at a constant speed of 40 km/h. What is the average speed of the car for the entire round trip?

A car accelerates uniformly from rest to 20 m/s in 10 s. The distance covered in this time is:

A particle moves along a straight line. Its position-time graph is a parabola opening downward with vertex at (4 s, 20 m) and passing through the origin (0 s, 0 m). The velocity of the particle at t = 0 is: