Project of EDD-5161RProject of EDD-5161R

Yue Ying Ho ( 98007310 )Yue Ying Ho ( 98007310 )

Wong Bing Sze ( 98007710 )Wong Bing Sze ( 98007710 )

I think you should I think you should have the experience have the experience of shooting a of shooting a basketball.basketball.

How can you describe the motion of the basketball ?

IntroductionIntroduction

ObjectivesObjectives

Represent the motion of a basketball Represent the motion of a basketball

by a x-t graph by a x-t graph

Represent the motion of a basketball Represent the motion of a basketball

by a v-t graph by a v-t graph

Understand the relation between x-t Understand the relation between x-t

and v-t graphand v-t graph

Construction of a X-T GraphConstruction of a X-T Graph

Height(x) /m

Time(t) /s0

When the position of the ball is recorded, a X-T graph isformed.

X denotes displacement (height ).

T denotes time taken.

Characteristics of a X-T GraphCharacteristics of a X-T Graph

0

X / m

T / s

Maximum Height

Total Time

xo

to

X0 is the maximum height reached by the ball.

to is the total time

taken for the ball to go and return.

What is the time required for the ball to reach the highest point ?

X-T graph is symmetric X-T graph is symmetric

0

X / m

T / s

Maximum Height

xo

to

to/2

The time taken for the ball to reach the highest point should be to/2

Construction of a V-T GraphConstruction of a V-T GraphDisplacement / m

Time / s0

Velocity(v) /ms -1

Time(t) /s0

When the velocity of the ball is recorded, a V-T graph isformed.

V denotes velocity ( how fast ). T denotes time taken.

Velocity and v-t graphVelocity and v-t graphVelocity / ms -1

Time / s0

The ball is moving upward, the velocity is positive.

The ball is moving downwards and the velocity become negative

The ball reaches the highest point, the instantaneous velocity is zero.

Speed and v-t graphSpeed and v-t graphVelocity / ms -1

Time / s0

The speed of the ball is reducing gradually. It is decelerating.

The speed of the ball is increasing gradually. It is accelerating .

The speed of the ball is zero. It is temporary at rest.

Areas in v-t graphAreas in v-t graphVelocity / ms -1

Time / s0

Area A equals to the maximum heightreached by the ball.

Area B represents the distance traveled by the ball from the highest point back to the ground.

A

B

Is there any relation between A and B ?

Area in V-T graphArea in V-T graphVelocity / ms -1

Time / s0

A

B

Area A and B are the SAME !

It is because the basketball travels the same distance up and down .

BB

BBB

B

Slope in v-t graphSlope in v-t graphVelocity / ms -1

Time / s0

The slope of the v-t graph is the acceleration of the basketball.

to

vo

What is the slope of this straight line ?

Slope in v-t graphSlope in v-t graphVelocity / ms -1

Time / s0

The slope of the v-t graph is : - vo / to = -g

g is the gravitational acceleration and is approximately equal to 10 ms-2

to

vo