Practise questions · Salam Academy

SA-9709-P4-KM-0043 marksL1 FoundationCalculatorGraphs

A car accelerates uniformly from rest to

12\ \text{m s}^{-1}

in

4

s, travels at

12\ \text{m s}^{-1}

for

10

s, then decelerates uniformly to rest in

6

s. Find the initial acceleration and the total distance travelled.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P4-KM3-0013 marksL1 FoundationCalculatorGraphs

A particle accelerates uniformly from rest to

15\ \text{m s}^{-1}

in

5

s, then decelerates uniformly to rest in a further

10

s. Find the deceleration and the total distance travelled.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P4-KM3-0021 markL1 FoundationCalculatorGraphs

On a displacement–time graph, a horizontal line segment shows that the object is

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SA-9709-P4-KM3-0091 markL1 FoundationCalculatorGraphs

The area under an acceleration–time graph gives the

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SA-9709-P4-KM-Q011 markL1 FoundationCalculatorGraphs

The gradient of a velocity–time graph gives the

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SA-9709-P4-KM-Q021 markL1 FoundationCalculatorGraphs

The area between a velocity–time graph and the time axis gives the

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SA-9709-P4-KM-0053 marksL2 StandardCalculatorGraph unknowns

A train accelerates uniformly from rest to

V\ \text{m s}^{-1}

in

10

s, travels at

V

for

20

s, then decelerates uniformly to rest in

10

s. The total distance is

600

m. Find

V

.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P4-KM3-0033 marksL2 StandardCalculatorGraphs

A displacement–time graph consists of three straight segments: from

(0,0)

to

(4,20)

, then to

(10,20)

, then to

(15,0)

, with

t

in seconds and

s

in metres. Find the velocity in the final stage, and the average speed for the whole

15

s.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P4-KM3-0053 marksL2 StandardCalculatorGraph unknowns

A train accelerates uniformly from rest for

20

s to a speed

V\ \text{m s}^{-1}

, travels at

V

for

60

s, then decelerates uniformly to rest in

20

s. The total distance is

1600

m. Find

V

.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P4-KM3-0064 marksL2 StandardCalculatorGraphs

A particle's velocity changes uniformly from

6\ \text{m s}^{-1}

to

-4\ \text{m s}^{-1}

over

5

s. Find its displacement and the distance it travels in this time.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P4-KM3-0083 marksL2 StandardCalculatorGraph unknowns

A particle accelerates uniformly from

4\ \text{m s}^{-1}

to

16\ \text{m s}^{-1}

, travelling

150

m. Find the time taken and the acceleration.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P4-KM3-0074 marksL3 ExamCalculatorGraph unknowns

Car

A

passes a point

O

at a constant

20\ \text{m s}^{-1}

. At that instant car

B

starts from rest at

O

with acceleration

2.5\ \text{m s}^{-2}

in the same direction. Find the time when the cars have the same speed, and the time when

B

catches

A

.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P4-KM3-0046 marksL4 ChallengingCalculatorGraph unknowns

A car starts from rest and accelerates at

2\ \text{m s}^{-2}

for

T

s. It then travels at constant speed for

30

s, before decelerating at

4\ \text{m s}^{-2}

to rest. The total distance is

750

m. Find

T

and the greatest speed.

Salam Academy Original Practice · Proposed mark scheme

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