Projectile Motion Projectile Fired Horizontally. A cannonball shot from a cannon, a stone thrown...

Projectile Motion Projectile Fired Horizontally

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Transcript of Projectile Motion Projectile Fired Horizontally. A cannonball shot from a cannon, a stone thrown...

Projectile Motion

Projectile Fired Horizontally

A cannonball shot from a cannon, a stone thrown into then air, a ball rolling off the edge of table, a spacecraft circling the earth – are all examples of projectiles.

Page 3: Projectile Motion Projectile Fired Horizontally. A cannonball shot from a cannon, a stone thrown into then air, a ball rolling off the edge of table,

Projectile: an object that moves through space acted upon only by the earth's gravity.

Page 4: Projectile Motion Projectile Fired Horizontally. A cannonball shot from a cannon, a stone thrown into then air, a ball rolling off the edge of table,

The shape of a projectile’s path is known as a parabola.

Page 5: Projectile Motion Projectile Fired Horizontally. A cannonball shot from a cannon, a stone thrown into then air, a ball rolling off the edge of table,

For projectiles, vertical motion and horizontal motion are not related and should

be treated separately.

Page 6: Projectile Motion Projectile Fired Horizontally. A cannonball shot from a cannon, a stone thrown into then air, a ball rolling off the edge of table,

For projectiles, vertical motion and horizontal motion are not related and should

be treated separately.

Page 7: Projectile Motion Projectile Fired Horizontally. A cannonball shot from a cannon, a stone thrown into then air, a ball rolling off the edge of table,

For projectiles, vertical motion and horizontal motion are not related and should

be treated separately.

Page 8: Projectile Motion Projectile Fired Horizontally. A cannonball shot from a cannon, a stone thrown into then air, a ball rolling off the edge of table,

The horizontal component of motion for a projectile is just like the horizontal motion of a ball rolling freely along a level surface (ignoring friction).

It moves with a constant velocity.

0s 1s 2s 3s 4s 5s

0m 1m 2m 3m 4m 5m

Page 9: Projectile Motion Projectile Fired Horizontally. A cannonball shot from a cannon, a stone thrown into then air, a ball rolling off the edge of table,

The ball moves an equal distance per equal interval of time.

There is no horizontal force to cause it to accelerate after it has been set in motion.

0s 1s 2s 3s 4s 5s

0m 1m 2m 3m 4m 5m

Page 10: Projectile Motion Projectile Fired Horizontally. A cannonball shot from a cannon, a stone thrown into then air, a ball rolling off the edge of table,

The same is true for a projectile – when no horizontal force acts on the projectile, the horizontal velocity remains constant.

0s 1s 2s 3s 4s 5s

0m 1m 2m 3m 4m 5m

Page 11: Projectile Motion Projectile Fired Horizontally. A cannonball shot from a cannon, a stone thrown into then air, a ball rolling off the edge of table,

The vertical component of the projectiles motion is just like the motion of an object in freefall.

20m

45m

80m

Page 12: Projectile Motion Projectile Fired Horizontally. A cannonball shot from a cannon, a stone thrown into then air, a ball rolling off the edge of table,

In the vertical direction, there is a force involved – the force of gravity, g.

Therefore, there is an acceleration in the direction of the force – down.

20m

45m

80m

Page 13: Projectile Motion Projectile Fired Horizontally. A cannonball shot from a cannon, a stone thrown into then air, a ball rolling off the edge of table,

So, the ball’s velocity changes with time.

20m

45m

80m

Page 14: Projectile Motion Projectile Fired Horizontally. A cannonball shot from a cannon, a stone thrown into then air, a ball rolling off the edge of table,

Most importantly, the horizontal and vertical

motions of the projectile are not

Page 15: Projectile Motion Projectile Fired Horizontally. A cannonball shot from a cannon, a stone thrown into then air, a ball rolling off the edge of table,

The vertical motion involves acceleration.

Vertical motion

Page 16: Projectile Motion Projectile Fired Horizontally. A cannonball shot from a cannon, a stone thrown into then air, a ball rolling off the edge of table,

The horizontal motion deals with constant

velocity.

Vertical motion

Horizontal motion

Page 17: Projectile Motion Projectile Fired Horizontally. A cannonball shot from a cannon, a stone thrown into then air, a ball rolling off the edge of table,

A projectile is a combination of both

motions.

Vertical motion

Horizontal motion

Page 18: Projectile Motion Projectile Fired Horizontally. A cannonball shot from a cannon, a stone thrown into then air, a ball rolling off the edge of table,

A projectile is a combination of both

motions.

Vertical motion

Horizontal motion

Page 19: Projectile Motion Projectile Fired Horizontally. A cannonball shot from a cannon, a stone thrown into then air, a ball rolling off the edge of table,

A projectile is a combination of both

motions.

Vertical motion

Horizontal motion

Page 20: Projectile Motion Projectile Fired Horizontally. A cannonball shot from a cannon, a stone thrown into then air, a ball rolling off the edge of table,

A projectile is a combination of both

motions.

Vertical motion

Horizontal motion

PROJECTILE MOTION

dx = 5m

t = 4s

dy = 80m

Page 22: Projectile Motion Projectile Fired Horizontally. A cannonball shot from a cannon, a stone thrown into then air, a ball rolling off the edge of table,

A soldier shoots a cannonball out of a cannon horizontally from the top of a cliff. At the same moment, another soldier drops a cannonball straight down from the same

height. Which cannonball strikes the ground first?