Advertisements
Advertisements
Question
Given figure shows the distance-time graph of three objects A, B and C. Study the graph and answer the following questions:
- Which of the three is travelling the fastest?
- Are all three ever at the same point on the road?
- How far has C travelled when B passes A?
- How far has B travelled by the time it passes C?
Advertisements
Solution
- The slope of B is greater than that of A and C. Hence, B is moving the fastest.
- No, because the three lines are not intersecting at any point.
- By the time B passes A, C covers a distance of about 9 km or more.
- By the time B passes C, it has travelled 6 km.
RELATED QUESTIONS
A driver of a car travelling at 52 km h−1 applies the brakes and accelerates uniformly in the opposite direction. The car stops in 5 s. Another driver going at 3 km h−1 in another car applies his brakes slowly and stops in 10 s. On the same graph paper, plot the speed versus time graphs for the two cars. Which of the two cars travelled farther after the brakes were applied?
The speed-time graph for a car is shown in the following figure:
- Find how far the car travels in the first 4 seconds. Shade the area on the graph that represents the distance travelled by the car during the period.
- Which part of the graph represents uniform motion of the car?
Show the shape of the distance-time graph for the motion in the following case:
A car moving with a constant speed.
Show the shape of the distance-time graph for the motion in the following case:
A car parked on a side road.
Fill in the following blank with suitable word :
The slope of a distance-time graph indicates ………………….. of a moving body.
A car is travelling at 20 m/s along a road. A child runs out into the road 50 m ahead and the car driver steps on the brake pedal. What must the car’s deceleration be if the car is to stop just before it reaches the child ?
A spaceship is moving in space with a velocity of 60 kms−1. It fires its retro engines for 20 seconds and velocity is reduced to 55 kms−1. Calculate the distance travelled by a spaceship in 40 s, from the time of firing of the retro- rockets.
The slope of the distance-time curve is steeper/greater is the ______.
Assertion: The slope of the distance-time graph of a body moving with high speed is steeper than the slope of the distance-time graph of a body with low velocity.
Reason: Slope of distance-time graph = speed of the body.
What do you infer if
- Distance – time graph is a straight line.
- The velocity-time graph is curved.
- Displacement time is zigzag.
