Algebra, NAPX-F4-CA20

Question

{{{question}}}

Worked Solution

{{{workedSolution}}}

Variant 0

DifficultyLevel

685

Question

Vivian throws a cricket ball from a height of 2 metres above the ground.

The graph below shows the height of the ball above ground level against the time after Vivian releases the ball.



How long does the cricket ball travel at or above 3 metres?

Worked Solution

Ball initially hits 3 m at 0.6 seconds.

Ball drops to 3 m at 3.2 seconds.

∴\therefore Ball is at or above 3 m for 2.6 seconds.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Vivian throws a cricket ball from a height of 2 metres above the ground. The graph below shows the height of the ball above ground level against the time after Vivian releases the ball.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/06/NAPX-F4-CA20.svg 390 indent vpad
How long does the cricket ball travel at or above 3 metres?
workedSolution
Ball initially hits 3 m at 0.6 seconds. Ball drops to 3 m at 3.2 seconds. $\therefore$ Ball is at or above 3 m for {{{correctAnswer}}}.
correctAnswer
2.6 seconds

Answers

Is Correct?Answer
x

2.5 seconds

✓

2.6 seconds

x

2.8 seconds

x

3.2 seconds

Variant 1

DifficultyLevel

681

Question

Ian throws a cricket ball from a height of 2 metres above the ground.

The graph below shows the height of the ball above ground level against the time after Ian releases the ball.



How long does the cricket ball travel at or above 1.8 metres?

Worked Solution

Ball starts at 2 m so is above 1.8 m from 0 seconds.

Ball drops to 1.8 m at 3.6 seconds.

∴\therefore Ball is at or above 1.8 m for 3.6 seconds.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Ian throws a cricket ball from a height of 2 metres above the ground. The graph below shows the height of the ball above ground level against the time after Ian releases the ball.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/06/NAPX-F4-CA20.svg 390 indent vpad
How long does the cricket ball travel at or above 1.8 metres?
workedSolution
Ball starts at 2 m so is above 1.8 m from 0 seconds. Ball drops to 1.8 m at 3.6 seconds. $\therefore$ Ball is at or above 1.8 m for {{{correctAnswer}}}.
correctAnswer
3.6 seconds

Answers

Is Correct?Answer
✓

3.6 seconds

x

3.5 seconds

x

3.4 seconds

x

3.3 seconds

Variant 2

DifficultyLevel

690

Question

Greg throws a cricket ball from a height of 2 metres above the ground.

The graph below shows the height of the ball above ground level against the time after Greg releases the ball.



What is the difference between the balls maximum height and its starting height above the ground?

Worked Solution

Initial height of the ball is 2 m.

Maximum height of the ball is 4.2 m.

∴\therefore Difference between maximum and starting height is 2.2 metres.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Greg throws a cricket ball from a height of 2 metres above the ground. The graph below shows the height of the ball above ground level against the time after Greg releases the ball.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/06/NAPX-F4-CA20.svg 390 indent vpad
What is the difference between the balls maximum height and its starting height above the ground?
workedSolution
Initial height of the ball is 2 m. Maximum height of the ball is 4.2 m. $\therefore$ Difference between maximum and starting height is {{{correctAnswer}}}.
correctAnswer
2.2 metres

Answers

Is Correct?Answer
x

4.2 metres

x

4.1 metres

✓

2.2 metres

x

2.1 metres

Variant 3

DifficultyLevel

695

Question

Shane throws a cricket ball straight up from a height of 2 metres above the ground.

The graph below shows the height of the ball above ground level against the time after Shane releases the ball.



What is the total distance travelled by the ball in 4 seconds?

Worked Solution

Initial height of the ball is 2 m.

Maximum height of the ball is 4.2 m.

Difference between maximum and starting heights is  4.2 −- 2 = 2.2 m

The ball then travels 4.2 metres to the ground.

∴\therefore The total distance travelled by the ball is 4.2 + 2.2 = 6.4 metres

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Shane throws a cricket ball **straight up** from a height of 2 metres above the ground. The graph below shows the height of the ball above ground level against the time after Shane releases the ball.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/06/NAPX-F4-CA20.svg 390 indent vpad
What is the total distance travelled by the ball in 4 seconds?
workedSolution
Initial height of the ball is 2 m. Maximum height of the ball is 4.2 m. Difference between maximum and starting heights is  4.2 $-$ 2 = 2.2 m The ball then travels 4.2 metres to the ground. $\therefore$ The total distance travelled by the ball is 4.2 + 2.2 = {{{correctAnswer}}}
correctAnswer
6.4 metres

Answers

Is Correct?Answer
x

4 metres

x

4.1 metres

x

6.2 metres

✓

6.4 metres

Variant 4

DifficultyLevel

699

Question

Ricky throws a cricket ball straight up from a height of 2 metres above the ground.

The graph below shows the height of the ball above ground level against the time after Ricky releases the ball.



What is the total distance travelled by the ball in the first 3.8 seconds?

Worked Solution

Inital height of the ball is 2 m.

After 2 seconds the ball reaches its maximum height of 4.2 m.

Difference between maximum and starting heights is  4.2 −- 2 = 2.2 m

In the next 1.8 seconds the ball travels from a height of 4.2 metres to 1 metre above the ground, or  4.2 −- 1 = 3.2 m.

∴\therefore Total distance = 2.2 + 3.2 = 5.4 metres

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Ricky throws a cricket ball **straight up** from a height of 2 metres above the ground. The graph below shows the height of the ball above ground level against the time after Ricky releases the ball.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/06/NAPX-F4-CA20.svg 390 indent vpad
What is the total distance travelled by the ball in the first 3.8 seconds?
workedSolution
Inital height of the ball is 2 m. After 2 seconds the ball reaches its maximum height of 4.2 m. Difference between maximum and starting heights is  4.2 $-$ 2 = 2.2 m In the next 1.8 seconds the ball travels from a height of 4.2 metres to 1 metre above the ground, or  4.2 $-$ 1 = 3.2 m. $\therefore$ Total distance = 2.2 + 3.2 = {{{correctAnswer}}}
correctAnswer
5.4 metres

Answers

Is Correct?Answer
x

1.5 metres

x

3.8 metres

✓

5.4 metres

x

6.4 metres

Variant 5

DifficultyLevel

680

Question

Imran throws a cricket ball from a height of 2 metres above the ground.

The graph below shows the height of the ball above ground level against the time after Imran releases the ball.



How long does the cricket ball travel at or above 1 metre?

Worked Solution

Ball starts at 2 metres above the ground, so already above 1 metre.

The ball again drops to 1 m after 3.8 seconds.

∴\therefore Ball is at or above 1 m for 3.8 seconds.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Imran throws a cricket ball from a height of 2 metres above the ground. The graph below shows the height of the ball above ground level against the time after Imran releases the ball.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/06/NAPX-F4-CA20.svg 390 indent vpad
How long does the cricket ball travel at or above 1 metre?
workedSolution
Ball starts at 2 metres above the ground, so already above 1 metre. The ball again drops to 1 m after 3.8 seconds. $\therefore$ Ball is at or above 1 m for {{{correctAnswer}}}.
correctAnswer
3.8 seconds

Answers

Is Correct?Answer
x

3.4 seconds

✓

3.8 seconds

x

4 seconds

x

5.4 seconds

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