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Suppose a projectile is launched with velocity v metres/sec at an angle p above the horizon.
The horizontal component of the initial velocity is v*cos(p) ms^-1 and after t seconds the horizontal displacement, x = vt*cos(p) metres.
The vertical component of the initial velocity is v*sin(p) ms^-1, acceleration is -g ms^-2 where g is the downward acceleration due to gravity. After t seconds, the vertical displacement, y = vt*sin(p) - g*t^2 metres.
Eliminating t from these two equations gives
y = tan(p)*x - g/[2*v^2*cos^2(p)] * x^2
Since p, g and v are constants, this equation is of the form
y = ax + bx^2, which is the equation of a parabola.
What else can I help you with?
What will be the path of a projectile?
The path of a projectile in earth gravity is that of a parabola.
What is the difference between a Parabola and a Trajectory?
Trajectory is the path a projectile follows Parabola is the shape of this path
Why path of projectile is parabola?
The path of a projectile is a parabola because the force of gravity acts perpendicular to the initial velocity, causing the projectile to follow a curved trajectory. This curved path results from both horizontal and vertical motion, creating a parabolic shape.
The entire path of a projectile fired upward through the air can be represented as?
a parabola
What is a path a projectile makes?
A projectile follows a curved path called a parabola when it is launched horizontally or at an angle in the air. This path is a result of the combination of the projectile's initial velocity and the force of gravity acting on it. The shape of the path may vary depending on the launch angle and velocity of the projectile.
What curved path traveled by a thrown baseball is known as?
projectile motion
What type of path does a projectile follow in the absence of air resistance?
Without air resistance, the path of a projectile over a small part of the Earth's surface, under the influence of gravity alone, is always a piece of a parabola ... as long as it's not launched straight up or straight down.
Use the word parabola in a sentence?
A parabola is the curved path of a projectile is the result of constant motion horizontallt and accelerated motion vertically under the influrnce of gravity.
How do you solve a projectile motion problem?
An object projected by force and continuing in motion by its own inertia.An objectile is a a projectile only when it is in a state of motion,usually it covers a parabola shape path.
What should be the hypothesis of projectile motion?
The hypothesis of projectile motion typically involves predicting the path of a projectile based on initial conditions such as angle of launch, initial velocity, and gravity. It could be stated as: "The projectile will follow a curved path known as a parabola, determined by the initial velocity and launch angle, and will be influenced by gravity throughout its flight."
Projectile motion with the use of parabola?
Yes.
Is it true or false that a cannon ball rolling down a slope is considered a projectile?
Since I have read that the path of a projectile is always a parabola, I must say no. The parabolic shape of a projectile's path results from the combination of the force and direction with which it is launched and its weight.A ball rolling down a slope, is not Projectile Motion. While a cannon ball can be used to be a projectile, as far as Physics goes, that is not how it is operating at the moment (rolling down a slope).
