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All questions of Measuring motion for Year 8 Exam
If a distance-time graph is a straight line sloping downwards from left to right, the object is:- a)Moving towards the origin
- b)Moving away from the origin
- c)Accelerating
- d)Decelerating
Correct answer is option 'B'. Can you explain this answer?
If a distance-time graph is a straight line sloping downwards from left to right, the object is:
a)
Moving towards the origin
b)
Moving away from the origin
c)
Accelerating
d)
Decelerating
 | Athira Gupta answered |
Understanding Distance-Time Graphs
A distance-time graph illustrates how the distance of an object from a reference point changes over time. The key to interpreting these graphs lies in the slope and direction of the line.
Interpreting a Downward Slope
When the line in a distance-time graph slopes downwards from left to right, it indicates that the distance from the origin (starting point) is decreasing. This can be understood as follows:
- Direction of Movement: A downward slope signifies that the object is moving closer to the origin.
- Distance Decrease: As time progresses, the distance value on the y-axis decreases, showing that the object is returning to the starting point.
Correct Answer: Moving Towards the Origin
Given this interpretation, the correct option is:
- Option A: Moving towards the origin is true, as the downward slope confirms that the object is reducing its distance from the starting point.
Why Not Other Options?
- Option B: Moving away from the origin is incorrect because a downward slope indicates a decrease in distance, not an increase.
- Option C: Accelerating is not applicable here since acceleration typically refers to changes in speed, not a straightforward distance decrease.
- Option D: Decelerating suggests a reduction in speed but does not accurately reflect the object's movement towards the origin.
In summary, a downward sloping line on a distance-time graph indicates that the object is indeed moving towards the origin, making option A the correct answer.
A distance-time graph illustrates how the distance of an object from a reference point changes over time. The key to interpreting these graphs lies in the slope and direction of the line.
Interpreting a Downward Slope
When the line in a distance-time graph slopes downwards from left to right, it indicates that the distance from the origin (starting point) is decreasing. This can be understood as follows:
- Direction of Movement: A downward slope signifies that the object is moving closer to the origin.
- Distance Decrease: As time progresses, the distance value on the y-axis decreases, showing that the object is returning to the starting point.
Correct Answer: Moving Towards the Origin
Given this interpretation, the correct option is:
- Option A: Moving towards the origin is true, as the downward slope confirms that the object is reducing its distance from the starting point.
Why Not Other Options?
- Option B: Moving away from the origin is incorrect because a downward slope indicates a decrease in distance, not an increase.
- Option C: Accelerating is not applicable here since acceleration typically refers to changes in speed, not a straightforward distance decrease.
- Option D: Decelerating suggests a reduction in speed but does not accurately reflect the object's movement towards the origin.
In summary, a downward sloping line on a distance-time graph indicates that the object is indeed moving towards the origin, making option A the correct answer.
A level teaspoon is approximately 5 ml. How many level teaspoons in 1.5 litres?- a)20
- b)30
- c)300
- d)3,000
Correct answer is option 'C'. Can you explain this answer?
a)
20
b)
30
c)
300
d)
3,000
 | Ishani Singh answered |
Understanding the Volume Conversion
To determine how many level teaspoons are in 1.5 litres, we first need to understand the relationship between millilitres and litres.
Key Conversion Facts
- 1 litre = 1000 millilitres (ml)
- 1 level teaspoon = 5 ml
Calculating the Total Millilitres in 1.5 Litres
1.5 litres can be converted to millilitres using the conversion fact:
- 1.5 litres x 1000 ml/litre = 1500 ml
Finding the Number of Teaspoons
Next, we calculate how many level teaspoons are in 1500 ml:
- Total ml (1500 ml) / ml per teaspoon (5 ml) = Number of teaspoons
- 1500 ml / 5 ml = 300 teaspoons
Conclusion
Thus, there are 300 level teaspoons in 1.5 litres. The correct answer is option 'C'.
This method clearly illustrates the steps needed to convert litres to teaspoons, ensuring a comprehensive understanding of volume measurements.
To determine how many level teaspoons are in 1.5 litres, we first need to understand the relationship between millilitres and litres.
Key Conversion Facts
- 1 litre = 1000 millilitres (ml)
- 1 level teaspoon = 5 ml
Calculating the Total Millilitres in 1.5 Litres
1.5 litres can be converted to millilitres using the conversion fact:
- 1.5 litres x 1000 ml/litre = 1500 ml
Finding the Number of Teaspoons
Next, we calculate how many level teaspoons are in 1500 ml:
- Total ml (1500 ml) / ml per teaspoon (5 ml) = Number of teaspoons
- 1500 ml / 5 ml = 300 teaspoons
Conclusion
Thus, there are 300 level teaspoons in 1.5 litres. The correct answer is option 'C'.
This method clearly illustrates the steps needed to convert litres to teaspoons, ensuring a comprehensive understanding of volume measurements.
Jake has three cups of tea every day but he never drinks an entire cup. On average he throws away 25 millilitres each cup. Approximately how much tea does he waste in a calendar month consisting of 30 days?- a)75 ml
- b)750 ml
- c)1.25 litres
- d)2.25 litres
Correct answer is option 'D'. Can you explain this answer?
a)
75 ml
b)
750 ml
c)
1.25 litres
d)
2.25 litres
 | Rajdeep Khanna answered |
Understanding Jake's Tea Consumption
Jake drinks three cups of tea every day but never finishes a cup. He wastes 25 millilitres per cup on average.
Calculating Daily Waste
- Jake drinks 3 cups daily.
- He wastes 25 millilitres per cup.
To find his daily waste:
Daily Waste = Number of Cups × Waste per Cup
Daily Waste = 3 cups × 25 ml = 75 ml
Calculating Monthly Waste
Now, let's calculate for a month consisting of 30 days:
Monthly Waste = Daily Waste × Number of Days
Monthly Waste = 75 ml × 30 days = 2250 ml
Converting Millilitres to Litres
Since 1000 millilitres equal 1 litre, we convert:
2250 ml = 2250 ml / 1000 = 2.25 litres
Conclusion
Thus, Jake wastes approximately 2.25 litres of tea in a 30-day month. The correct answer is option 'D'.
Jake drinks three cups of tea every day but never finishes a cup. He wastes 25 millilitres per cup on average.
Calculating Daily Waste
- Jake drinks 3 cups daily.
- He wastes 25 millilitres per cup.
To find his daily waste:
Daily Waste = Number of Cups × Waste per Cup
Daily Waste = 3 cups × 25 ml = 75 ml
Calculating Monthly Waste
Now, let's calculate for a month consisting of 30 days:
Monthly Waste = Daily Waste × Number of Days
Monthly Waste = 75 ml × 30 days = 2250 ml
Converting Millilitres to Litres
Since 1000 millilitres equal 1 litre, we convert:
2250 ml = 2250 ml / 1000 = 2.25 litres
Conclusion
Thus, Jake wastes approximately 2.25 litres of tea in a 30-day month. The correct answer is option 'D'.
There are 1,000 litres of sand in a sandpit. If a bucket holds 11 litres, approximately how many buckets of sand are in the sandpit?- a)91
- b)99
- c)100
- d)101
Correct answer is option 'A'. Can you explain this answer?
There are 1,000 litres of sand in a sandpit. If a bucket holds 11 litres, approximately how many buckets of sand are in the sandpit?
a)
91
b)
99
c)
100
d)
101
 | Nidhi Bhatt answered |
Divide 1,000 litres by 11 litres per bucket: 1,000 ÷ 11 = 90.90909090909091.
Since the question asks for an approximate number of buckets, round 90.91 to the nearest integer, which is 91.
Therefore, there are approximately 91 buckets of sand in the sandpit.
Since the question asks for an approximate number of buckets, round 90.91 to the nearest integer, which is 91.
Therefore, there are approximately 91 buckets of sand in the sandpit.
Which unit is commonly used to measure distance?- a)Kilogram
- b)Meter
- c)Liter
- d)Second
Correct answer is option 'B'. Can you explain this answer?
Which unit is commonly used to measure distance?
a)
Kilogram
b)
Meter
c)
Liter
d)
Second
 | Focus Academy answered |
The meter (option B) is the SI unit for measuring distance or length. Kilogram (option A) is the SI unit for mass, liter (option C) is the SI unit for volume, and second (option D) is the SI unit for time.
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