Motion In A Straight Line Mock Tests

A particle moves along a straight line such that its position at time t is given by x(t) = 2t³ − 6t² + 8t, where x is in metres and t is in seconds. The velocity of the particle at t = 2 s is:

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 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?

The position of a particle moving along a straight line is given by x(t) = 3t² - 2t³, where x is in meters and t is in seconds. The acceleration of the particle at t = 1 s is:

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 travels the first half of a journey at 40 km/h and the second half at 60 km/h. The average speed for the entire journey is:

A car travels the first half of a distance between two points at 40 km/h and the remaining half at 60 km/h. The average speed of the car during the entire journey is:

In an elastic collision between two bodies: