What is the path followed by a projectile?

What is the path followed by a projectile?

The path followed by a projectile is called its trajectory. If we negligible air resistance, projectiles follows a curved trajectory or curved path that is a parabola.

Why is a cycloid the fastest path?

Nor was the path traveling straight down — which maximised acceleration from gravity — with a curve at the turning point. In fact, it was the cycloid which gave the fastest route despite the bead having to travel a longer distance. Animation showing the three paths for the bead to travel.

Why is a Brachistochrone curve the fastest?

A Brachistochrone curve is the fastest path for a ball to roll between two points that are at different heights. A ball can roll along the curve faster than a straight line between the points. The curve will always be the quickest route regardless of how strong gravity is or how heavy the object is.

What angle can a projectile achieved the shortest distance?

30-degrees
The projectile launched at 30-degrees has the smallest vy, and as such the shortest hang time. The range of a projectile is determined by two parameters – the initial value of the horizontal velocity component and the hang time of the projectile.

What shape is the path of a projectile?

Parabola
Parabola: in projectile motion, it is the shape of the path traced by a projectile.

Is cycloid the shortest path?

The cycloid is the quickest curve and also has the property of isochronism by which Huygens improved on Galileo’s pendulum. When a ball rolls from A to B, which curve yields the shortest duration? Let’s assume that we have three hypotheses: a straight line, a quadratic, and a cycloid.

What is the fastest way between two points?

A straight line is the shortest distance between two points.

Why do projectiles follow a curved path instead of straight path?

Air resistance and gravity are the only forces acting on a projectile. The combination of an initial forward velocity and the downward vertical force of gravity causes the ball to follow a curved path.

Why is a curved path faster than a straight path?

The mass on the curved path is certainly covering a larger distance but it is quicker than the mass on straight path. It is because the curved path here is a part of a cycloid, the curve that would be traced by a point on a circle rolling on a straight line.

Does gravity push or pull a ball in an arc?

In general relativity, gravity neither pushes nor pulls. To explain why ball travels in an arc you note the start and end points of the throw in 4d space time (3 space co-ordinates and 1 time coordinate) You then find the shortest path between these two 4d points in the curved spacetime surrounding the Earth.

Does gravity pull a golf ball down in the simulation?

If I use a bowling ball to deform a sheet, and then role a golf ball along the sheet nearby, the golf ball will move a bit towards the bowling ball because of the force of gravity around me – not “gravity” in the simulation. It thus makes it seem like gravity pulls the golf ball “down” because the bowling ball pulls the rubber sheet “down”.

How far does the ball travel when you hit it higher?

If you hit the ball one degree higher it will land about 6 feet beyond the baseline, depending on the initial speed and angle. If you hit the ball one degree further to the left it will land 16 inches further to the left.

Why is the initial velocity of an object in space positive?

Note that because up is positive, the initial velocity is positive, as is the maximum height, but the acceleration due to gravity is negative.