Distance-time graphs are a fantastic way to visualize speed and motion. Understanding them is crucial for grasping key concepts in physics. This post provides a range of questions suitable for Class 7 students, categorized for easier understanding and practice. We'll move from simple interpretation to more complex analysis, building your confidence and skills step-by-step.
Section 1: Basic Interpretation
These questions focus on reading information directly from a given distance-time graph.
Question 1:
A distance-time graph shows a straight horizontal line. What does this indicate about the object's motion?
Question 2:
A distance-time graph shows a straight line sloping upwards. What does the steepness (slope) of the line represent? How would a steeper line compare to a less steep line in terms of speed?
Question 3:
Examine the graph below (insert a simple distance-time graph showing a constant speed). What is the distance traveled after 2 hours? What is the speed of the object?
Section 2: Calculating Speed from Graphs
These questions involve calculating speed using data from the graph.
Question 4:
A cyclist travels 30 kilometers in 2 hours. Draw a distance-time graph to represent this journey. What is the cyclist's average speed?
Question 5:
(Insert a distance-time graph showing a journey with multiple stages – maybe a constant speed, a stop, and then another constant speed). Calculate the speed during each stage of the journey. What is the average speed for the entire journey?
Question 6:
A car travels at a constant speed of 60 km/h. If it travels for 3 hours, what will the distance-time graph look like? Draw the graph and label the axes correctly.
Section 3: Analyzing More Complex Scenarios
These questions introduce more challenging aspects of distance-time graphs.
Question 7:
(Insert a distance-time graph showing an object accelerating). Describe the motion of the object shown in this graph. Why is the line curved?
Question 8:
Explain the difference between a distance-time graph showing constant speed and one showing increasing speed. How do the lines differ?
Question 9:
Imagine a race between two runners. Draw a possible distance-time graph showing one runner winning the race. Explain the features of your graph that show who won and how.
Section 4: Problem Solving with Graphs
These questions require applying knowledge to solve problems using distance-time graphs.
Question 10:
Two cars, A and B, start at the same point and travel in the same direction. Car A travels at 40 km/h and Car B travels at 60 km/h. Draw a distance-time graph showing the journeys of both cars for 3 hours. At what distance will Car B overtake Car A?
Question 11:
A train travels from City X to City Y, a distance of 200 km. It travels at an average speed of 50 km/h for the first 100 km, then reduces its speed to 40 km/h for the remaining distance. Draw a distance-time graph for the train's journey. How long does the entire journey take?
Tips for Answering Distance-Time Graph Questions:
- Read the question carefully: Understand what information is given and what is being asked.
- Label the axes: Always label the x-axis (time) and y-axis (distance) clearly.
- Use a ruler: Draw straight lines for constant speeds and accurately plot points.
- Show your working: Clearly show your calculations for speed and distance.
- Check your answers: Ensure your answers are reasonable and consistent with the graph.
By practicing these questions, Class 7 students will build a solid understanding of distance-time graphs and their applications in understanding motion and speed. Remember to always check your work and ask for help if you get stuck!
