Class XI Physics Kinematics 1

From a tower of height H, a particle is thrown vertically upwards with a speed u. The time taken by the particle, to hit the ground, is n times that taken by it to reach the highest point of its path. The relation between H, u and n is:

Statement–1: The instantaneous velocity does not depend on instantaneous position vector.
Statement–2: The instantaneous velocity and average velocity of a particle are always same.

The acceleration a (in ms^–2) of a body, starting from rest varies with time t (in s) according to the relation a = 3t + 4
The velocity of the body at time t = 2s will be

Velocity time graph of a particle undergoing rectilinear motion is plotted upto T = t₄ as shown in the figure. Average acceleration of the particle is zero in the time interval between

A body is at rest at x = 0. At t = 0, it starts moving in the positive x-direction with a constant acceleration. At the same instant another body passes through x = 0 moving in the positive x-direction with a constant speed. The position of the first body is given by x₁(t) after time t and that of the second body by x₂(t) after the same time interval. Which of the following graphs correctly describes (x₁ – x₂) as a function of time t ?

Two stones are projected from the top of a cliff h meters high, with the same speed u so as to hit the ground at the same spot. If one of the stones is projected horizontally and the other is projected at an angle θ to the horizontal then tan θ equals