Algebra, NAPX-G3-CA24

Question

{{{question}}}

Worked Solution

{{{workedSolution}}}

Variant 0

DifficultyLevel

679

Question

Isaac dropped an apple from the top of a bridge into the water below.

He uses the following equation to calculate the distance the apple travels in metres,

distance = 4.9 x (time)2^2

where time is the number of seconds it takes the apple to reach the water.

Which of these is closest to the distance, if it took the apple a time of 3.3 seconds to reach the water?

Worked Solution
Distance = 4.9×(3.3)24.9×(3.3)^2
= 4.9×10.894.9×10.89
= 53.36153.361
≈ 53 metres

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Isaac dropped an apple from the top of a bridge into the water below. He uses the following equation to calculate the distance the apple travels in metres, ` ` *distance = 4.9 x (time)$^2$* where time is the number of seconds it takes the apple to reach the water. Which of these is closest to the distance, if it took the apple a time of 3.3 seconds to reach the water?
workedSolution
| | | | ------------- | ---------- | | Distance | \= $4.9×(3.3)^2$ | | | \= $4.9×10.89$ | | | \= $53.361$ | | | ≈ {{{correctAnswer}}} |
correctAnswer
53 metres

Answers

Is Correct?Answer
x

12 metres

x

16 metres

x

32 metres

✓

53 metres

x

261 metres

Variant 1

DifficultyLevel

680

Question

Golem dropped a rock from the top of a tower onto the ground below.

He uses the following equation to calculate the distance the rock travels in metres,

distance = 4.9 x (time)2^2

where time is the number of seconds it takes the rock to reach the ground.

Which of these is closest to the distance, if it took the rock a time of 4.2 seconds to reach the water?

Worked Solution
Distance = 4.9×(4.2)24.9×(4.2)^2
= 4.9×17.644.9×17.64
= 86.43686.436
≈ 86 metres

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Golem dropped a rock from the top of a tower onto the ground below. He uses the following equation to calculate the distance the rock travels in metres, ` ` *distance = 4.9 x (time)$^2$* where time is the number of seconds it takes the rock to reach the ground. Which of these is closest to the distance, if it took the rock a time of 4.2 seconds to reach the water?
workedSolution
| | | | ------------- | ---------- | | Distance | \= $4.9×(4.2)^2$ | | | \= $4.9×17.64$ | | | \= $86.436$ | | | ≈ {{{correctAnswer}}} |
correctAnswer
86 metres

Answers

Is Correct?Answer
x

16 metres

x

21 metres

x

41 metres

✓

86 metres

x

424 metres

Variant 2

DifficultyLevel

681

Question

A rescue worker dropped a warning beacon from a helicopter into the ocean below.

He uses the following equation to calculate the distance the warning beacon travels in metres,

distance = 4.9 x (time)2^2

where time is the number of seconds it takes the warning beacon to reach the ocean.

Which of these is closest to the distance, if it took the warning beacon a time of 2.1 seconds to reach the ocean?

Worked Solution
Distance = 4.9×(2.1)24.9×(2.1)^2
= 4.9×4.414.9×4.41
= 21.60921.609
≈ 22 metres

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
A rescue worker dropped a warning beacon from a helicopter into the ocean below. He uses the following equation to calculate the distance the warning beacon travels in metres, ` ` *distance = 4.9 x (time)$^2$* where time is the number of seconds it takes the warning beacon to reach the ocean. Which of these is closest to the distance, if it took the warning beacon a time of 2.1 seconds to reach the ocean?
workedSolution
| | | | ------------- | ---------- | | Distance | \= $4.9×(2.1)^2$ | | | \= $4.9×4.41$ | | | \= $21.609$ | | | ≈ {{{correctAnswer}}} |
correctAnswer
22 metres

Answers

Is Correct?Answer
x

106 metres

✓

22 metres

x

21 metres

x

16 metres

x

10 metres

Variant 3

DifficultyLevel

673

Question

A building is damaged when a metal bar falls from a crane onto its roof.

The investigation team uses the following equation to calculate the distance the metal bar fell in metres,

distance = 4.9 x (time)2^2

where time is the number of seconds it takes the metal bar to reach the roof.

Which of these is closest to the distance, if it took the metal bar a time of 3 seconds to reach the roof?

Worked Solution
Distance = 4.9×(3)24.9×(3)^2
= 4.9×94.9×9
= 44.144.1
≈ 44 metres

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
A building is damaged when a metal bar falls from a crane onto its roof. The investigation team uses the following equation to calculate the distance the metal bar fell in metres, ` ` *distance = 4.9 x (time)$^2$* where time is the number of seconds it takes the metal bar to reach the roof. Which of these is closest to the distance, if it took the metal bar a time of 3 seconds to reach the roof?
workedSolution
| | | | ------------- | ---------- | | Distance | \= $4.9×(3)^2$ | | | \= $4.9×9$ | | | \= $44.1$ | | | ≈ {{{correctAnswer}}} |
correctAnswer
44 metres

Answers

Is Correct?Answer
x

15 metres

x

29 metres

✓

44 metres

x

66 metres

x

216 metres

Variant 4

DifficultyLevel

683

Question

A bird egg fell from a nest to the ground.

The following equation can be used to calculate the distance the egg fell in metres,

distance = 4.9 x (time)2^2

where time is the number of seconds it takes the egg to reach the ground.

Which of these is closest to the distance, if it took the egg a time of 1.1 seconds to reach the ground?

Worked Solution
Distance = 4.9×(1.1)24.9×(1.1)^2
= 4.9×1.214.9×1.21
= 5.9295.929
≈ 6 metres

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
A bird egg fell from a nest to the ground. The following equation can be used to calculate the distance the egg fell in metres, ` ` *distance = 4.9 x (time)$^2$* where time is the number of seconds it takes the egg to reach the ground. Which of these is closest to the distance, if it took the egg a time of 1.1 seconds to reach the ground?
workedSolution
| | | | ------------- | ---------- | | Distance | \= $4.9×(1.1)^2$ | | | \= $4.9×1.21$ | | | \= $5.929$ | | | ≈ {{{correctAnswer}}} |
correctAnswer
6 metres

Answers

Is Correct?Answer
x

5 metres

✓

6 metres

x

11 metres

x

25 metres

x

87 metres

Variant 5

DifficultyLevel

684

Question

A coconut fell from the top of a coconut palm to the ground.

The following equation can be used to calculate the distance the coconut fell in metres,

distance = 4.9 x (time)2^2

where time is the number of seconds it takes the coconut to reach the ground.

Which of these is closest to the distance, if it took the coconut a time of 2.2 seconds to reach the ground?

Worked Solution
Distance = 4.9×(2.2)24.9×(2.2)^2
= 4.9×4.844.9×4.84
= 23.71623.716
≈ 24 metres

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
A coconut fell from the top of a coconut palm to the ground. The following equation can be used to calculate the distance the coconut fell in metres, ` ` *distance = 4.9 x (time)$^2$* where time is the number of seconds it takes the coconut to reach the ground. Which of these is closest to the distance, if it took the coconut a time of 2.2 seconds to reach the ground?
workedSolution
| | | | ------------- | ---------- | | Distance | \= $4.9×(2.2)^2$ | | | \= $4.9×4.84$ | | | \= $23.716$ | | | ≈ {{{correctAnswer}}} |
correctAnswer
24 metres

Answers

Is Correct?Answer
x

9.8 metres

x

11 metres

x

22 metres

✓

24 metres

x

116 metres

Tags