## Saturday, March 4, 2017

### Horizontal Projectile and its Velocity Video Lesson

A body  projected from a certain height horizontally with some initial velocity is called horizontal projectile. It has only initial velocity  along the horizontal direction but it has no initial velocity along the vertical direction.

But as the body start moving, acceleration due to gravity starts acting, velocity  of the body in the horizontal direction remains same as there is no acceleration due to gravity remains same. But velocity component of the body along the Y direction starts increasing. We can find the displacement along the horizontal and vertical directions using the basic equations of motion and we can show that the path is parabola as shown in the video lesson below.

Path of horizontal Projectile is parabola

Velocity of horizontal projectile

The horizontal projectile has initial velocity of projection in the horizontal direction but it has no initial velocity along the Y direction. The velocity of projectile in the horizontal direction remains same as there is no acceleration in that direction and the component of the velocity along the Y direction starts increasing. We can find the final velocity of projectile at any instant is the vector sum of horizontal and vertical components of velocity. The final velocity has a certain direction and we can find the direction as shown in the video lecture below.

Angle of projectile of oblique projectile where range and maximum heights are same

A oblique projectile is a body that is projected from the horizontal direction with a certain angle. The range of the projectile is the maximum horizontal distance travelled by a projectile body and the maximum height is the maximum vertical distance that the projectile has travelled. If these two has to he the same, we need to equate the mathematical equations of both of them and we can find the corresponding angle of projection can be measured as shown in the diagram below.

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