Question 1 :
If a particle is projected with speed {tex} u {/tex} from ground at an angle with horizontal, then radius of curvature of a point where velocity vector is perpendicular to initial velocity vector is given by
Question 2 :
The velocity of projection of a body is increased by {tex} 2 \% {/tex}. Other factors remaining unchanged, what will be the percentage change in the maximum height attained?
Question 3 :
If retardation produced by air resistance of projectile is one-tenth of acceleration due to gravity, the time to reach maximum height
Question 4 :
A projectile of mass {tex} \mathrm { m } {/tex} is thrown with a velocity v making an angle {tex} 60 ^ { \circ } {/tex} with the horizontal. Neglecting air resistance, the change in velocity from the departure A to its arrival at B, along the vertical direction is<br><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/NEET/5e0dc58de50f934b847a59a3">
Question 5 :
A stone is just released from the window of a moving train moving along a horizontal straight track. The stone will hit the ground following a
Question 6 :
If {tex} \overrightarrow { \mathrm { A } } = \hat { \mathrm { i } } + \hat { \mathrm { j } } + \hat { \mathrm { k } } {/tex} and {tex} \overrightarrow { \mathrm { B } } = 2 \hat { \mathrm { i } } - \hat { \mathrm { j } } + 4 \hat { \mathrm { k } } {/tex} then the unit vector along {tex} \overrightarrow { \mathrm { A } } + \overrightarrow { \mathrm { B } } {/tex} is
Question 7 :
A projectile is thrown in the upward direction making an angle of {tex} 60 ^ { \circ } {/tex} with the horizontal direction with a velocity of {tex} 147 \ \mathrm { ms } ^ { - 1 } . {/tex} Then the time after which its inclination with the horizontal is {tex} 45 ^ { \circ } , {/tex} is
Question 8 :
A particle crossing the origin of co-ordinates at time {tex} \mathrm { t } = 0 , {/tex} moves in the xy-plane with a constant acceleration {tex}a{/tex} in the y-direction. If its equation of motion is {tex} \mathrm { y } = \mathrm { bx } ^ { 2 } {/tex} (b is a constant), its velocity component in the x-direction is
Question 9 :
If the angles of projection of a projectile with same initial velocity exceed or fall short of {tex} 45 ^ { \circ } {/tex} by equal amounts, then the ratio of horizontal ranges is
Question 10 :
A particle moves in the {tex} \mathrm { X } - \mathrm { Y } {/tex} plane with a constant acceleration {tex} 1.5 \mathrm { m } / \mathrm { s } ^ { 2 } {/tex} in the direction making an angle of {tex} 37 ^ { \circ } {/tex} with the {tex} \mathrm { X } {/tex} -axis. At {tex} \mathrm t = 0 {/tex} the particle is at the origin and its velocity is {tex} 8.0 \mathrm { m } / \mathrm { s } {/tex} along the {tex} \mathrm { X } {/tex}-axis. Find the position of the particle at {tex} \mathrm t = 4.0 \mathrm { s } {/tex}.