Projectile on Inclined Plane

A stone is projected horizontally with velocity $v$  from a building of height $h.$ It hits the inclined plane perpendicularly as shown in figure. Then

On an inclined plane inclined at an angle of $30°$ to the horizontal, a ball is thrown upwards with a velocity of $10 \mathrm{m} {\mathrm{s}}^{-1},$ at an angle of $60°$ to the inclined plane. Its range on the inclined plane is

If angle of incline is $37°$ from horizontal and body is projected up at $53°$ from the incline then range will be.

For a projectile thrown up an incline plane (making an angle $\theta$ with horizontal), maximum range on the incline can be achieved by projecting at an angle _____$°+\frac{\theta }{2}$ from the horizontal ( $\theta$ is acute).

A particle is projected on an incline plane having inclination $30°,$ at an angle $30°$ with the incline plane with a velocity $15 \mathrm{m} {\mathrm{s}}^{-1}.$ Range of the projectile on the incline plane will be

The small marble is projected with a velocity of $10 \mathrm{m} {\mathrm{s}}^{-1}$ in a direction $45°$ from the horizontal $y$-direction on the smooth inclined plane. Calculate the magnitude $v$ of its velocity after $2 \mathrm{s}$.

A block of mass $5 \mathrm{kg}$ and surface area $2 {\mathrm{m}}^2$ just begins to slide down on an inclined plane, when the angle of inclination is $30°$. Keeping the mass same, the surface area of the block is doubled. The angle at which it starts sliding down is

A projectile is fired horizontally from an inclined plane (of inclination $45°$ with horizontal) with speed $50 \mathrm{m} {\mathrm{s}}^{–1}.$ If $g=10 \mathrm{m} {\mathrm{s}}^{–2},$ the range measured along the incline is

A stair case contains three steps having height $10 \mathrm{cm}$ each. If each are $20 \mathrm{cm}$ wide then the minimum horizontal velocity of a ball moving off the upper mark plane so as to hit the lowest plane directly is

From the top of a tower of height $40 \mathrm{m}$ a ball is projected upward with a speed of $20{ \mathrm{ms}}^{-1}$ at an elevation of $30°.$ The ratio of the total time taken by the ball to hit the ground to its time to come back at the same level is $\left(g=10{ \mathrm{ms}}^{-2}\right)$

A ball is projected from point $A$with velocity $10 \mathrm{m} {\mathrm{s}}^{-1}$perpendicular to the inclined plane as shown in the figure. Range of the ball on the inclined plane is