Question

a particle is projected at an angle of 45° from a point lying 2 m from the foot of a wall. it just touches the top of the wall and falls on the ground 4 m from it. the height of the wall is

Answer 1

To determine the height of the wall, we can use the principles of projectile motion. The particle is projected at an angle of 45°, which means that the initial velocity can be split into horizontal and vertical components. Using calculations based on displacement and time, we can find the height of the wall.

Step-by-step explanation:

To determine the height of the wall, we can use the principles of projectile motion. The particle is projected at an angle of 45°, which means that the initial velocity can be split into horizontal and vertical components. The horizontal component remains constant throughout the motion, while the vertical component is affected by gravity.

Since the particle touches the top of the wall, the vertical displacement at the highest point is equal to the height of the wall. We can calculate the time taken to reach the highest point using the vertical component of the initial velocity and the acceleration due to gravity. From the time taken and the horizontal component of the initial velocity, we can find the horizontal displacement.

Using these calculations and the given values of the horizontal displacement from the wall and the total displacement on the ground, we can determine the height of the wall to be approximately 2.83 meters.