Solved Problems
- The change of position with respect to time for the two cars P and Q are shown in the graph. Which one has greater velocity?
Solution:
The slope of the position time graph gives the value of the velocity. Since the slope for the car Q is greater than that of the car P, velocity of the car Q is greater. - The velocity time graphs for the cars X, Y and Z are shown in the graph. Which car has greatest speed?
Solution: The car Y has greatest speed because its value on the y-axis is greater. - John drives his car with an average velocity of 80 km/hr. How long will it take him to reach home which is 120 km away?
Solution:
Given: velocity = 80 km/hr, displacement = 120 km
Time =?
Time can be found out by using the definition of average velocity.
- A bus moves with an average velocity of 64 km/hr eastward. It takes 30 minutes to reach the town. What is the displacement of the car?
Solution:
Given: velocity = 64 km/hr, time = 30 minutes = ½ hr
The displacement of the car can be calculated using the definition of average velocity.
and displacement can be written as,
- A train travels 100 km to reach the town ‘A’ in one hour and 15 minutes. The train stops at station ‘A’ for 45 minutes. Then it travels 150 km to station ‘B’ in 2 hours. What is the average velocity of the train?
Solution: The average velocity can be calculated by using the definition of average velocity.
Using the above equation for average velocity, we get,
