- Projectile
- Assumptions of Projectile Motion
- Projectile Motion
- Galileos Statement
- PROJECTILE THROWN AT AN ANGLE WITH HORIZONTAL
- Horizontal range
- Maximum height
- Resultant velocity
- General result
- EQUATION OF TRAJECTORY
- PROJECTILE THROWN PARALLEL
- Time of flight
- Horizontal range
- Velocity at a general point
- Velocity with which
- Trajectory equation
- PROJECTION FROM A TOWER
- PROJECTION FROM A MOVING PLATFORM
- PROJECTION ON AN INCLINED PLANE
- Range along the inclined plane
- Elastic collision of a projectile with a wall
- WORK DONE BY MULTIPLE FORCES
- NON-CONSERVATIVE FORCES

Projectile

Any object that is given an initial velocity obliquely, and that subsequently follows a path determined

by the net constant force, (In this chapter constant force is gravitational force) acting on it is called

a projectile.

Read moreWe shall consider only trajectories that are of sufficiently short range so that the gravitational

force can be considered constant in both magnitude and direction

Read moreThe motion of projectile is known as projectile motion.

It is an example of two dimensional motion with constant acceleration

Read moreTwo perpendicular directions of motion are independent

Read moreConsider a projectile thrown with a velocity u making an angle q with the horizontal.

Read moreHorizontal range

Read moreAt the highest point of its trajectory, particle moves horizontally, and hence vertical component of

velocity is zero

Read moreResults of article 2.2, and 2.3 are valid only if projectile lands at same horizontal level from

which it was projected.

Read moreWe get the same range for two angle of projections a and (90 – a) but in both cases,

maximum heights attained by the particles are different

Read moreThe path followed by a particle (here projectile) during its motion is called its Trajectory. Equation of

trajectory is the relation between instantaneous coordinates (Here x & y coordinate) of the particle.

If we consider the horizontal direction

Read morePROJECTILE THROWN PARALLEL TO THE HORIZONTAL FROM SOME HEIGHT

Read moreThis is equal to the time taken by the projectile to return to ground. From equation of motion

Read moreDistance covered by the projectile along the horizontal direction between the point of projection to

the point on the ground

Read moreHere horizontal velocity of the projectile after time t

Read moreVelocity with which the projectile hits the ground

Read moreThe path traced by projectile is called the trajectory

Read moreCase (i) : Horizontal projection

Read moreWhen a ball is thrown upward from a truck moving with uniform speed, then observer A standing in

the truck, will see the ball moving in straight vertical line (upward & downward).

The observer B sitting on road, will see the ball moving in a parabolic path. The horizontal speed of

the ball is equal to the speed of the truck

Read moreCase (i) : Particle is projected up the incline

Here a is angle of projection w.r.t. the inclined plane.

x and y axis are taken along and perpendicular to the

incline as shown in the diagram.

Read moreWhen the particle strikes the inclined plane x coordinate is equal to range of the particle

Read moreSuppose a projectile is projected with speed u at an angle q from point O on the ground. Range of the projectile

is R. A vertical, smooth wall is present in the path of the projectile at a distance x from the point O. The collision

of the projectile with the wall is elastic. Due to collision, direction of x component of velocity is reversed but its

magnitude remains the same and y component of velocity remains unchanged.

Read moreThis gives the work done by the net force during a displacement S

of the particle.

We can rewrite equation

Read moreA force is said to be non-conservative if work done by or against the force in moving a body depends upon the

path between the initial and final positions.

Read more