Summary for Time, Height and Range
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Q. The angle of projection of projectile which is projected with certain velocity from ground is π÷8 with horizontal and its horizontal range is R. The angle with the horizontal for another projectile having same range R and speed is
Q. 10.A projectile is projected horizontally with a velocity u.Show that its trajectory is parabolic.Obtain expression for time of flight and horizontal range.
Q. 81. If R and H are the horizontal range and maximum height is attained by a projectile, then its speed of projection is
Q. the position coordinates of a projectile thrown from ground are given by y=(12t-5t^2)m and x=5tm. the initial speed of throw
Q. A uniform disc of mass m and radius R is pivoted at point p and is free to rotate in vertical plane .The centr C of disc is initially in horizontal position .if it is released from this position, then its angular acceleration when PC is inclined to the horizontal at an angle theta is?
Q. A particle is projected at an angle θ with horizontal with initial speed u when it makes an angle ϕ with horizontal its speed is
Q. A ball suspended by a thread swings in a vertical plain so that its acceleration in the extreme position and lowest position are equal in magnitude. The angleθ of the deflection in extreme position will be
Q. A ball projected vertically upwards from ground with velocity v=24m/s. Assume the air resis†an ce produces a cons†an t retardation of 2m/s^2. Then (g=10m/s^2) 1. The maximum height attained is 28.8m 2. Time of ascent is more than time of descent 3. Time of descent is more than time of ascent 4. velocity of the particle just before it hits the ground is 8\sqrt6
Q. A particle is projected with velocity 2 \sqrt{gh} such that it crosses 2 walls of height h separated by 2h .what is the angle of projection?
Q. A bullet is to be fired with a speed of 2000 ms−1 to hit a target 200 m away on a level ground. If g = 10 ms2, the
gun should be aimed
gun should be aimed
- 5 cm below the target
- 5 cm above the target
- directly at the target
- 2 cm above the target
Q. At the topmost point of a trajectory its velocity and acceleration are at an angle of
Q. 118.A particle is projected at an angle theta with horizontal from ground the slope of the trajectory of the particle varies with time as
Q. the speed of a projectile when it is at its maximum height is root(2/5) times its speed at half the maximum height. what is its angle of projection
Q. 35.Time of descent formula
Q. a projectile is thrown with speed 40m/s at angle θ from horizontal . it is found that projectile is at same height at 1s and 3s. what is the angle of projection
Q. A uniform rol of length L is hinged at one end is released from horizontal position so as to fall under gravity. what is the angular acceleration
Q. The angle of projection when the range is equal to the distance through which the particle would have to fall in order to acquire a velocity equal to its velocity of projection. (1) 30^° (2) 75^° (3) 45^° (4) 60^°
Q. A particle is projected horizontally with a speed u from the top of a plane inclined at an angle θ with the horizontal .How far from the point of projection will the particle strike the plane
Q. A projectile is thrown with a speed u , at an angle theta to an inclined plane of inclination beta. the angle theta at which the projectile is thrown such that it strikes the inclined plane normally is
Q. A stone is projected from ground with certain speed at an angle θ with horizontal attains maximum height h1 when it is projected with same speed at an angle θ with vertical attains height h2 the horizontal range of projectile is
Q. a particle would take time t to move down a straight tube from surface of rearth to its centet . if gravity wereto remain constant then time would be t find their ratio
Q. 28.A particle is projected vertically upwards. It reaches the maximum height H in time T the height of particle at any time t will be
Q. A ball is projected in vertically upward direction at time t=0 from the ground during its flight it is at same height from the ground at t=3s and t=7s the total time of flight of the ball is
Q. a gun is projected on platform moving with velocity v=10i. a bullet is fired from the gun with muzzle velocity u=40i+20j wrt platform .then the horizontal range of projectile is
Q. if a body is projected upward from certain height h with initial velocity u then its speed at the ground level is
Q. a rod of length l stands vertically.when it is released it hits the ground.with how much velocity the upper point of the rod hits the ground?
Q. 11.A block of mass m is released from the top of fixer inclined smooth plane. If theta is the angle of inclination, then the vertical acceleration of the block is
Q. a small sphere of mass m is suspended by thread is first taken with vertical and then released thrn find the angle between threasd and vertical when total acceleration vector of sphere is directed horizontlly?
Q. 109.A body is projected vertically up with a velocity u.Its velocity at half of its maximum height and at 3/4th of its maximum height are
Q. A projectile is projected at an angle 45^° to horizontal. If H is the maximum height and R is the horizontal range, then relation between H and R is