module 13 gradient and area under a graph1

8/12/2019 MODULE 13 Gradient and Area Under a Graph1

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MODUL 13 TOPIC : GRADIENT AND AREA UNDER A GRAPH

]

1. Diagram 2 shows the speed-time graph of two particles, and for a period of

8s.

DIAGRAM 2

he graph OKNMrepresents the mo!ement of particle and the graph JKL

represents the mo!ement of particle ."oth particles start mo!ing at the same time.

#a$ %tate the length of time, in s, that particle mo!es with &niform speed.

#'$ (alc&late the rate of change of speed, in ms-2, of particle in the first

) s.

#c$ (alc&late the difference in distance, in m, of particle and particle for a period of 8 s.

*) marks]

2. Diagram + shows the distance-time graph of the o&rnes taen ' Ali and /&ad.

DIAGRAM +

he straight line OB represents Ali0s o&rne from town to town , while thestraight line FG represents /&ad0s o&rne from town to town .

ime #s$

%peed #ms

-1

$

3

4

8

K

N M

8

L

)

J

+

Distance #m$

ime

156

)5

O5755 57+5 5855 58+5 555 5+5

F

G

B


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Ali and /&ad &ses the same ro&te.

#a$ %tate the distance, in m, of town from town .#'$ /ind the time Ali and /&ad meet each other d&ring their o&rne.#c$ /ind the distance when the meet from town .#d$ (alc&late /&ad0s speed.

*) marks]

4. Diagram 4 shows the speed-time graph of a motorcclist in a period of +5seconds.Gi!en that the total distance tra!elled ' the motorcclist is 626 m.

(alc&late,

#a$ the rate of change of speed in the last 6 second,

#'$ the d&ration of &niform speed,

#c$ the !al&e of v.

6. Diagram 6 shows a !elocit-time graph for a particle.

!elocit # m s-1$

25

time #s$

%peed #m s-1$

25

v

15 26 +5

15 25 30 time (s)

u

O

DIAGRAM 4

DIAGRAM 5


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#a$ %tate the time, in s, the particle mo!es with constant !elocit.

#'$ (alc&late the accleration, in m s-2, of the particle in the last 6 seconds.

#c$ /ind the !al&e of uif the total distance tra!elled after 16 seconds is15 m.

* ) marks]

). Diagram ) shows a displacement 9 time graph for the o&rne of a car from townA

to town Cpassing town Band then 'ac to town A.

DIAGRAM )

#a$ (alc&late the speed in m:h for the o&rne from town Ato town B.

#'$ %tate the time taen for the car to stop at town C.

#c$ (alc&late the a!erage speed in m:h for the total distance of the car.

* ) mars ]

ime #min$5 25 66 )4 6

B

Displacement #m$

46

)5

A

C

8 Diagram 8 shows the speed-time graph of a particle for a period of time 46 seconds.

#a$ (alc&late the rate of change of speed, in cm 2

, in the first 15 seconds.

#'$ (alc&late the !al&e of v, if the total distance tra!eled in the last +6 seconds is726 m.

%peed #ms-1$

ime#s$5

16

15 +5

v25

46

Diagram 8

v


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. Diagram shows the speed-time graph of a particle for a period of 17 seconds.

#a$ (alc&late the !al&e of u,if the total distance tra!eled in the first 8 seconds is1)4 meters.

#'$ %tate the length of time, in s, that particle mo!e with &niform speed.

#c$ (alc&late the rate of change of speed, in m s 2 , for a period of 25 second.

ime #s$

%peed #m:s$

5

u

8 12

26

25Diagram 9

15 Diagram 15 shows the speed-time the speed-time graph of a particle for a period of 5seconds.

#a$. (alc&late the !al&e of v#'$. (alc&late the distance for the first 65 seconds

%peed#m:s$

ime#s$#s$5

v

25 5

Diagram 15


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MODULE 13 - ANSWERSTOPIC : GRADIENT AND AREA UNDER A GRAPH

2#a$

#'$

#c$

2 saat

06

08

3

4atausetara

( )8282

1+

( ) 848282

1+

8

1

1

1

1

1

1 6

+#a$

#'$

#c$

#d$

156 m

5855 a.m

156 9 )5 ; 46m

jkm /425.2

105=

1

1

11

11 )

4#a$

2530

200

24 ms

#'$ 6 s

#c$ ( ) ( ) 5252015202

12010

2

1=+++ v

112 = msv

1

1

1

2

16


6/6

.

6 #'$ 16

#'$3025

020

4

#c$ 1902052

110)20(

2

1=++ u

u ; 8

1

1

1

2

16

)#a$

#'$

#c$

25

60

523

+ ata& nahpec&tan + ata& awapec&tan +

( ) ( ) 139k552

1545236

2

1=++++

;

1

11

21

7#c$ =

6020

451+6 jamkm

#'$ minit

module 13 gradient and area under a graph1

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