What is the shape of the path of any projectile

What is the shape of the path of any projectile


With the equations that we have derived we can now get more information about a projectile's motion.  This first of which is the shape of the path a projectile takes while in the air.

We first solve for t using the equation for position in the x direction:

What is the shape of the path of any projectile

What is the shape of the path of any projectile

If we substitute this into the equation for position in the y direction and rearrange the terms a bit:

What is the shape of the path of any projectile

What is the shape of the path of any projectile

We can see that the equation looks like a quadratic equation and the path traced by something that follows the quadratic equation has a particular shape... a parabola.


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What is the shape of the path of any projectile

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Updated On: 27-06-2022

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Step by step solution by experts to help you in doubt clearance & scoring excellent marks in exams.

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Show that the path of a projectile is a parabola.

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Show that the path of a projectile is a parabola

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Show that a projectile traces a path of a parabola.

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Shows that the path of horizontal projectile is a parabola and derive an expression for (i) Time of flight (ii) Horizontal range (iii) resultant relative and any instant (iv) speed of the projectile when it hits the ground?

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प्रक्षेप्य पथ की आकृति बताइये |

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What do you understand by projectile ? Show that the path of a projectile is parabolic.

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What is the path shape of a projectile?

Objects experiencing projectile motion have a constant velocity in the horizontal direction, and a constantly changing velocity in the vertical direction. The trajectory resulting from this combination always has the shape of a parabola.

What causes the shape of the path of a projectile?

Gravity causes a vertical acceleration. The ball will drop vertically below its otherwise straight-line, inertial path. Gravity is the downward force upon a projectile that influences its vertical motion and causes the parabolic trajectory that is characteristic of projectiles.

Is the path of a projectile curved?

Projectile motion is a form of motion experienced by an object or particle (a projectile) that is projected in a gravitational field, such as from Earth's surface, and moves along a curved path under the action of gravity only.

What is the flight path of a projectile?

The path the projectile follows through the air is known as its trajectory, and the path of the trajectory is a parabola. If no forces other than gravity act on the object, its trajectory can be easily and accurately determined. When a rocket launches, stability is an important issue.