Final Answer:
The total distance travelled by the car in question 1 is 30 meters.
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Explanation:
Let’s break this down step by step — it’s easier than it looks!
Part a) Drawing the graph:
- The car starts at rest → that means speed = 0 at time = 0.
- It speeds up to 10 m/s in 4 seconds → so from (0,0) to (4,10), draw a straight line going up.
- Then it slows down to rest in 2 seconds → so from (4,10) to (6,0), draw a straight line going down.
That’s your speed-time graph — it looks like a triangle!
Part b) Finding total distance:
On a speed-time graph, the area under the graph = distance travelled.
Our graph is a triangle:
- Base = total time = 6 seconds
- Height = max speed = 10 m/s
Area of triangle = ½ × base × height
= ½ × 6 × 10
= 3 × 10
= 30 meters
So the car travelled 30 meters total.
Easy, right? You just found the area under the graph — and that’s your answer!
Parent Tip: Review the logic above to help your child master the concept of velocity time graphs worksheet.
