A particle is ejected from the tube at $A$ with a velocity $v$ at an angle $\theta$ with the y-axis as shown in figure. A strong horizontal wind gives the particle a constant horizontal acceleration $a$ in the x-direction. If the particle strikes the ground at a point directly under its released position and the downward $y$ acceleration is taken as $g$, find the height h of the particle.

Q. A particle is projected downwards from point 'A' with initial velocity $5m/s$ at an angle $\theta ={37}^{o}C$ with the vertical. A strong horizontal wind gives the particle a constant horizontal acceleration of $6m/s^2$ in the x - direction. If the particle strikes the ground directly under its released position, the height 'h' of point A (in $m$) is (answer upto two decimal places). The downward acceleration is taken as $g=10m/s^2$ , take (sin37°=3/5, cos37°=4/5)

Q. A particle is projected downwards from point 'A' with initial velocity $5m/s$ at an angle $\theta ={37}^{o}C$ with the vertical. A strong horizontal wind gives the particle a constant horizontal acceleration of $6m/s^2$ in the x - direction. If the particle strikes the ground directly under its released position, the height 'h' of point A (in $m$) is (answer upto two decimal places). The downward acceleration is taken as $g=10m/s^2$ , take (sin37°=3/5, cos37°=4/5)

Q. A particle is projected at point $A$ with initial velocity $5\text{m/s}$ at an angle $\theta ={37}^{\circ }$ with the vertical $y-$axis. A strong horizontal wind gives the particle a constant horizontal acceleration of $6{\text{m/s}}^2$ in the $x-$direction. If the particle strikes the ground directly under its released position, then choose the correct option(s).

$[g=10{\text{m/s}}^2,\sin {37}^{\circ }=\frac{3}{5},\cos {37}^{\circ }=\frac{4}{5}]$

Q.

A particle is released from a certain height H=400m. Due to wind it gathers a horizontal velocity component v_x=ay where a=√5 s^-1 and y is the verticle displacement of particle from the point of release, then find

A) the horizontal drift of particle when it hits the ground.

B) the speed with which particle strikes the ground (g=10m/s²)

Q. A particle at a height '$h$' from the ground is projected with an angle ${30}^{\circ }$ from the horizontal, it strikes the ground making angle ${45}^{\circ }$ with horizontal. It is again projected from the same point at height $h$ with the same speed but with an angle of ${60}^{\circ }$ with horizontal. Find the angle it makes with the horizontal when it strikes the ground: