The trajectory of a projectile depends on motion in two dimensions. The x component is the horizontal motion of the projectile, and the y component is the vertical motion of the projectile . The units to express the horizontal and vertical distances are meters (m).
What are the components needed to draw the trajectory of a projectile?
- Initial launch angle, θ θ
- Initial velocity, u. u.
- Time of flight, T. T.
- Acceleration, a. a.
- Horizontal velocity, vx. v x.
- Vertical velocity, vy. v y.
- Displacement, d. d.
- Maximum height, H. H.
What are the two components in a trajectory?
There are the two components of the projectile’s motion – horizontal and vertical motion . And since perpendicular components of motion are independent of each other, these two components of motion can (and must) be discussed separately.
What is the formula of trajectory?
Answer: Hence the equation of the trajectory of the projectile is y = x√3 – 0.544x 2 . Example 2: If Trevor hits a ball with his bat at an initial velocity of 45 m/s in the air. In the ball’s direction of travel, the end of the field is 140.0 m away.
What 3 factors affect the trajectory of a projectile?
FACTORS AFFECTING PROJECTILE MOTION
There are three main factors that affect the trajectory of an object or body in flight: the projection angle. magnitude of projection velocity. height of projection .
What’s an example of trajectory?
The definition of a trajectory is the curved path something takes as it moves through space. An example of trajectory is the path taken by a paper airplane as it flies through the air . The curved path of something hurtling through space, esp. that of a projectile from the time it leaves the muzzle of the gun.
How many types of trajectory are there?
These curves represent four kinds of trajectories, or paths taken by objects in space when under the influences of forces such as gravity. The four conic sections obtained when a cone is sliced with a plane are: A circle. An ellipse.
What is the path of a projectile called?
Properties of Projectile Motion
Projectile motion is the motion of an object thrown (projected) into the air. After the initial force that launches the object, it only experiences the force of gravity. The object is called a projectile, and its path is called its trajectory .
What is vertical component?
That part, or component, of a vector that is perpendicular to a horizontal or level plane .
What is the only force acting on a projectile?
A projectile is an object upon which the only force is gravity . Gravity acts to influence the vertical motion of the projectile, thus causing a vertical acceleration. The horizontal motion of the projectile is the result of the tendency of any object in motion to remain in motion at constant velocity.
What is trajectory in physics class 11?
When any object is thrown from horizontal at an angle θ except 90° , then the path followed by it is called trajectory, the object is called projectile and its motion is called projectile motion.
How do you derive the equation of trajectory?
- y= x tanΘ – (gx2/2 v2 cos2Θ)
- Time of Flight, T = (2 vo sinΘ/g)
- Maximum Height Reached, H =( v02 sin2Θ/ 2g )
- Horizontal Range , R = (vo2 sin2Θ/ g)
- Where , ‘vo’ is the initial velocity.
What are the 4 equations of motion?
They are often referred to as the SUVAT equations , where “SUVAT” is an acronym from the variables: s = displacement, u = initial velocity, v = final velocity, a = acceleration, t = time.
Which factor is the most important in projectile motion?
- The projection angle.
- The magnitude of projectile velocity.
- The height of the projection.
How do these factors affect a projectile?
- Gravity.
- Air Resistance.
- Speed of Release.
- Angle of Release.
- Height of Release.
- Spin.
How much does air resistance affect a projectile?
As a projectile moves through the air it is slowed down by air resistance. Air resistance will decrease the horizontal component of a projectile . The effect of air resistance is very small, but needs to be considered if you want to increase the horizontal component of a projectile.
