Motion in a Pla...

Directions: In the following question, Statement - 1 (Assertion) is followed by Statement - 2 (Reason). The question has the following four options, out of which only ONE choice is correct.

Statement - 1: The maximum range on an inclined plane when a body is projected upwards from the base of the plane is less than that when it is projected downwards from the top of the same plane with the same speed.
Statement - 2: The maximum range along an inclined plane is independent of the angle of inclination of the plane.

Directions: The following question has four choices, out of which ONLY ONE is correct.

Which of the following graphs represent(s) uniform speed, if the distance is denoted by 's' and the time is denoted by 't'?

A particle is moving eastwards with a velocity of 5 ms^-1. In 10 seconds, the velocity changes to 5 ms^-1 northwards. The average acceleration in this time is

Which of the following graphs represents an impossible situation?

Magnitude of displacement of a particle is

If the vector sum of two forces is perpendicular to their vector difference, then in that case, the forces

Vectors can be added by

Directions: The following question has four choices, out of which ONLY ONE is correct.

If a particle is projected at an angle of 45^o, then find the relation between the range and the maximum height attained by the particle.

Directions: The following question has four choices, out of which ONLY ONE is correct.

Three forces act on a body, kept at the origin, such that their resultant is (F = 200 N) along the Y-axis. If the forces are , 45^o to the right of F, , 45^o to the left of F, then what will be the magnitude and direction of F₃?

Directions: The following question has four choices, out of which ONLY ONE is correct.

A particle moves in the x-y plane under the action of a force F, such that the value of its linear momentum p at any time t is p_x = 2 cos t, p_y = 2 sin t. The angle between F and p at any given time t will be

The maximum number of vectors of unequal magnitudes required to produce a zero resultant is

A ball is projected upwards from the top of a tower, with velocity 50 ms^-1, making an angle 30^o with the horizontal. The height of the tower is 70 m. After how many seconds, from the instant of throwing, will the ball reach the ground?
(g = 10 ms^-2)

The magnitude of acceleration of a moving body is equal to the

The basic difference between a scalar and vector is one of

Directions: The following question has four choices, out of which ONLY ONE is correct.

A river is flowing from West to East with a speed of 5 m/min. A man can swim in still water with a velocity of 10 m/min. In which direction should the man swim, so as to take the shortest possible path to go to South?

A cannon on a level plain is aimed at an angle  above the horizontal and a shell is fired with a muzzle velocity v₀ towards a vertical cliff, a distance R away. The height from the bottom at which the shell strikes the side walls of the cliff is

If and  , then the angle made by ( + ) with x-axis is

Two bullets A and B are fired from a gun with the same speed, but at angles 30^o and 60^o to the horizontal, respectively. Which of the following statements is correct?

Two vectors are equal if