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Motion under gravity Project of EDD-5161R Yue Ying Ho ( 98007310 ) Wong Bing Sze ( 98007710 ) Introduction I think you should have the experience of shooting a basketball. How can you describe the motion of the basketball ? Objectives Represent the motion of a basketball by a x-t graph

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Project of edd 5161r yue ying ho 98007310 wong bing sze 98007710 l.jpg

Motion under gravity

Project of EDD-5161R

Yue Ying Ho ( 98007310 )

Wong Bing Sze ( 98007710 )


Slide2 l.jpg

Introduction

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

How can you describe the motion of

the basketball ?


Objectives l.jpg
Objectives

  • Represent the motion of a basketball by a x-t graph

  • Represent the motion of a basketball by a v-t graph

  • Understand the relation between x-t and v-t graph


Construction of a x t graph l.jpg

0

Construction of a X-T Graph

Height(x) /m

When the position of the ball is

recorded, a X-T graph is

formed.

X denotes displacement

(height ).

T denotes time taken.

Time(t) /s


Characteristics of a x t graph l.jpg

X / m

T / s

0

Characteristics of a X-T Graph

xo

X0is the maximum height reached by the ball.

Maximum

Height

to is the total time taken for the ball to go and return.

to

What is the time required for the

ball to reach the highest point ?

Total Time


X t graph is symmetric l.jpg

X / m

T / s

0

X-T graph is symmetric

xo

The time taken for

the ball to reach the

highest point should

be to/2

Maximum

Height

to

to/2


Construction of a v t graph l.jpg

0

0

Construction of a V-T Graph

Velocity(v) /ms -1

Displacement / m

Time(t) /s

Time / s

V denotes velocity ( how fast ).

T denotes time taken.

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

formed.


Velocity and v t graph l.jpg

0

Velocity and v-t graph

Velocity / ms -1

The ball is moving upward,

the velocity is positive.

Time / s

The ball is moving

downwardsand the

velocity become negative

The ball reaches

the highest point,

the instantaneous

velocity iszero.


Speed and v t graph l.jpg

0

Speed and v-t graph

Velocity / ms -1

The speed of the ball is

reducing gradually.

It is decelerating.

Time / s

The speed of the ball is

increasinggradually.

It is accelerating .

The speed of the

ball is zero. It is

temporary at rest.


Areas in v t graph l.jpg

Velocity / ms -1

Time / s

0

Areas in v-t graph

Area A equals to the

maximum height

reached by the ball.

A

B

Area B represents the

distance traveled by the

ball from the highest

point back to the ground.

Is there any relation between A and B ?


Area in v t graph l.jpg

Velocity / ms -1

Time / s

0

Area in V-T graph

Area A and B are the SAME !

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

B

B

B

B

A

B

B

B


Slope in v t graph l.jpg

Velocity / ms -1

Time / s

0

Slope in v-t graph

What is the slope of this

straight line ?

vo

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

to


Slope in v t graph13 l.jpg

Velocity / ms -1

Time / s

0

Slope in v-t graph

The slope of the v-t graph is :

- vo / to = -g

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

vo

to


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