A particle is projected from a tower of height $40\ m$ in horizontal direction. Due to wind a constant acceleration is provided to the particle opposite to its initial velocity. If particle hits the ground (at the bottom of the tower) at an angle $37^o$ with horizontal, then find acceleration provided by wind to the particle

- A
$\frac{{40}}{3}m/{s^2}$

- B
$\frac{{80}}{3}m/{s^2}$

- C
$\frac{{10}}{3}m/{s^2}$

- D
$20\,m/{s^2}$

A ball is thrown from the location $\left(x_0, y_0\right)=(0,0)$ of a horizontal playground with an initial speed $v_0$ at an angle $\theta_0$ from the $+x$-direction. The ball is to be hit by a stone, which is thrown at the same time from the location $\left(x_1, y_1\right)=(L, 0)$. The stone is thrown at an angle $\left(180-\theta_1\right)$ from the $+x$-direction with a suitable initial speed. For a fixed $v_0$, when $\left(\theta_0, \theta_1\right)=\left(45^{\circ}, 45^{\circ}\right)$, the stone hits the ball after time $T_1$, and when $\left(\theta_0, \theta_1\right)=\left(60^{\circ}, 30^{\circ}\right)$, it hits the ball after time $T_2$. In such a case, $\left(T_1 / T_2\right)^2$ is. . . . .

- [IIT 2024]

An aeroplane moving horizontally with a speed of $180\, km/hr$. drops a food packet while flying at a height of $490\,m$. The horizontal range is........$m$

In the climax of a movie, the hero jumps from a helicopter and the villain chasing the hero also jumps at the same time from the same level. After sometime when they were at same horizontal level, the villain fires bullet horizontally towards the hero. Both were falling with constant acceleration $2\ m/s^2$ , because of parachute. Assuming the hero to be within the range of bullet, and air resistace force on bullet is negligible. Which of the following is correct

A mouse jumps off from the $15$ th floor of a high-rise building and lands $12 \,m$ from the building. Assume that, each floor is of $3 \,m$ height. The horizontal speed with which the mouse jumps is closest to ...............$km /h$

- [KVPY 2020]

An aeroplane flying at a constant velocity releases a bomb.As the bomb drops down from the aeroplane,