The SI unit of acceleration is:
Motion quiz
The slope of a distance-time graph gives:
The area under a velocity-time graph gives:
A body moving in a circle with constant speed has:
If a body returns to its starting point, its displacement is:
72 km/h is equal to:
A body starting from rest with acceleration 2 m/s^2 will have a velocity after 5 s of:
Which is a vector quantity?
A horizontal straight line on a velocity-time graph shows:
The equation v^2 - u^2 = 2as relates velocity to:
What is the average velocity of an object moving with uniform acceleration from u to v? (2 marks)
What is negative acceleration? Give an example. (2 marks)
What does the odometer of a car measure? (2 marks)
What does a speedometer measure? (2 marks)
Under what condition is the magnitude of average velocity equal to the average speed? (2 marks)
What is meant by a reference point? Why is it needed? (2 marks)
What would the distance-time graph look like for an object moving with uniform speed? (2 marks)
Give an example of motion where speed is constant but velocity changes. (2 marks)
Convert 36 km/h and 54 km/h into m/s. (2 marks)
Why is the motion of the Moon around the Earth said to be accelerated? (2 marks)
A trolley rolling down an inclined plane has an acceleration of 2 cm/s^2. What will be its velocity 3 s after the start? (3 marks)
A stone is thrown vertically upwards with an initial velocity of 5 m/s. If the acceleration of the stone is 10 m/s^2 downwards, find the maximum height it reaches and the time taken to reach there. (3 marks)
A cyclist goes around a circular track of radius 70 m once in 44 s. Find his speed. (Take pi = 22/7.) (3 marks)
A car accelerates uniformly from 18 km/h to 36 km/h in 5 s. Find its acceleration and the distance covered in that time. (3 marks)
Joseph jogs from one end A to the other end B of a straight 300 m road in 2 minutes 30 seconds and then turns around and jogs 100 m back to point C in another 1 minute. Find his average speed and average velocity in jogging from A to B and from A to C. (3 marks)
Read the passage and answer the questions. Usha swims in a 90 m long pool. She covers 180 m in one minute by swimming from one end to the other and back along the same straight path. (i) Find her average speed. (ii) Find her average velocity. (iii) Explain why the two values are different. (5 marks)
Read the passage and answer the questions. A driver of a car travelling at 52 km/h applies the brakes and the car stops uniformly in 5 s. Another driver going at 3 km/h in another car applies the brakes slowly and stops in 10 s. (i) Which car has the greater retardation? (ii) Find the retardation of the first car in m/s^2, correct to two decimal places. (iii) How would you show both on a velocity-time graph? (5 marks)
Read the passage and answer the questions. A school bus starts from rest and accelerates uniformly at 1 m/s^2 for 10 s, then moves at constant speed for 30 s and finally decelerates uniformly to stop in 5 s. (i) Find its maximum velocity. (ii) Find the distance covered in each stage. (iii) Find the total distance. (5 marks)
Read the passage and answer the questions. A ball is dropped from the top of a building and hits the ground in 3 s. Take g = 10 m/s^2 and ignore air resistance. (i) Find the velocity just before it hits the ground. (ii) Find the height of the building. (iii) Find its average velocity during the fall. (5 marks)
Read the passage and answer the questions. A tortoise moves 5 m in 10 s, while a rabbit runs 100 m in 10 s, stops for 80 s and then runs another 100 m in 10 s. (i) Find the average speed of the tortoise. (ii) Find the average speed of the rabbit for the whole journey. (iii) Which motion is uniform and which is non-uniform? (5 marks)
Draw a velocity-time graph for uniformly accelerated motion and derive v = u + at and s = ut + (1/2)at^2 from it. (6 marks)
Derive v^2 - u^2 = 2as using a velocity-time graph. Use it to find the stopping distance of a car moving at 20 m/s with a retardation of 4 m/s^2. (6 marks)
Draw distance-time graphs for two cars P and Q, where P moves at 10 m/s and Q at 20 m/s. From the graphs, find the distance covered by each in 5 s and state which line is steeper and why. (6 marks)
Draw a diagram showing an object in uniform circular motion. Explain why its velocity changes and derive v = 2 pi r / t. (6 marks)
The speed of a car at different times is: 0 s: 0 m/s, 5 s: 10 m/s, 10 s: 20 m/s, 15 s: 20 m/s, 20 s: 10 m/s, 25 s: 0 m/s. Draw the velocity-time graph, find the acceleration in each part and the total distance covered. (6 marks)
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