A bullet is fired at an initial velocity of 300 m/s from the top of a cliff 150 m high. Find the initial horizontal and vertical components, horizontal and vertical displacement, displacement upon reaching the ground.
At what angle from horizontal was the rifle aimed?
sir, it was fired horizontally.
To solve this problem, we can break down the initial velocity of the bullet into horizontal and vertical components using basic trigonometry.
1. Initial Vertical Component (Vy):
The bullet is fired vertically from the top of the cliff. We know that the initial vertical velocity is zero because the bullet is not moving up or down. The only force acting on the bullet in the vertical direction is gravity, which will cause it to accelerate downwards. Therefore, the initial vertical component of the velocity (Vy) is zero.
2. Initial Horizontal Component (Vx):
The initial horizontal component of the velocity (Vx) can be found using the given initial velocity (300 m/s) and the angle at which it is fired. However, the problem does not mention any angle. Without knowing the angle, we cannot determine the horizontal component of the velocity.
3. Vertical Displacement:
The bullet is fired from the top of a 150 m high cliff. The final vertical displacement will be the negative of the initial height because the bullet falls downwards. Therefore, the vertical displacement is -150 m.
4. Horizontal Displacement:
Without knowing the horizontal component of the velocity or the angle at which the bullet was fired, we cannot determine the horizontal displacement.
5. Displacement upon reaching the ground:
The displacement upon reaching the ground can be found using the horizontal displacement and vertical displacement. However, since we do not have the values for these displacements, we cannot calculate the total displacement upon reaching the ground.
In summary, without the angle at which the bullet is fired or the horizontal component of the velocity, we cannot fully solve the problem and find the requested values.