To test your understanding of motion, you can try the following questions:

1. A car travels a distance of 120 km in 2 hours. What is its average speed?
a) 40 km/h
b) 60 km/h
c) 80 km/h
d) 100 km/h

2. A ball is thrown vertically upwards with an initial velocity of 20 m/s. How long will it take for the ball to reach its highest point?
a) 2 seconds
b) 4 seconds
c) 6 seconds
d) 8 seconds

3. A cyclist covers a distance of 60 km in 3 hours. What is his average speed?
a) 15 km/h
b) 20 km/h
c) 25 km/h
d) 30 km/h

4. An object moves with a constant velocity of 10 m/s for 5 seconds. What is the total distance covered by the object?
a) 10 m
b) 20 m
c) 30 m
d) 50 m

5. A train travels a distance of 500 km in 5 hours. What is its average speed?
a) 50 km/h
b) 75 km/h
c) 100 km/h
d) 125 km/h

To prepare for Class 9 Mathematics, here are some tips:

1. Understand the syllabus: Familiarize yourself with the topics and concepts that will be covered in the class. This will help you plan your study schedule and allocate time for each topic accordingly.

2. Create a study plan: Make a study plan that includes daily or weekly targets. Allocate specific time for each topic and stick to the schedule to ensure proper coverage of all subjects.

3. Practice regularly: Mathematics requires practice to improve problem-solving skills. Solve a variety of problems from textbooks, reference books, and online resources to strengthen your understanding of concepts.

4. Take help from teachers or peers: If you find any concept difficult to understand, don't hesitate to seek help from your teacher or classmates. Group study sessions can also be beneficial as you can learn from each other's perspectives.

5. Solve previous years' question papers: Practice solving previous years' question papers to get an idea of the exam pattern and types of questions asked. This will also help you in time management during the actual exam.

6. Revise regularly: Regularly revise the topics you have covered to reinforce your understanding. Make concise notes or flashcards to aid in quick revision.

7. Stay calm and confident: Maintain a positive attitude towards mathematics and believe in your abilities. Stay calm during exams and attempt questions with confidence.

Remember, consistent effort and regular practice are key to excelling in mathematics. Good luck!

Two Mark Questions

1.  Define the term displacement. Is it a vector quantity or a scalar quantity?

2.  What is circular motion? Is circular motion an acceleration motion?

3.  Derive mathematically the first equation of motion V=u + at?

Three Mark Questions

4.  A boy runs for 20 min. at a uniform speed of 18km/h. At what speed should he run for the next 40 min. so that the average speed comes 24km/hr.

5.  A train accelerated from 10km/hr to 40km/hr in 2 minutes. How much distance does it cover in this period? Assume that the tracks are straight?

6.  A train starts from rest and accelerate uniformly at the rate of 5 m/s2 for 5 sec. Calculate the velocity of train in 5 sec.

7.  A bullet leaves a rifle with a muzzle velocity of 1042 m/s. While accelerating through the barrel of the rifle, the bullet moves a distance of 1.680 m. Determine the acceleration of the bullet (assume a uniform acceleration)

8.  A bike riding at 22.4 m/s skids to come to a halt in 2.55 s. Conclude the skidding distance of the bike.

9.  A race scooter is seen accelerating uniformly from 18.5 m/s to 46.1 m/s in 2.47 seconds. Determine the acceleration of the scooter and the distance travelled.

10.  A car is travelling with a speed of 36 km/h. The driver applied the brakes and retards the car uniformly. The car is stopped in 5 sec. Find (i) The acceleration of car and (ii) Distance before it stops after Appling breaks?

11.  Can displacement be zero? If yes, give two examples of such situations.

Five Mark Questions

12.  Prove that S=ut+1/2at2 graphically.