A boy is cycling at a constant speed along a straight road to his school. The postions of the boy after fixed time intervals are observed.
a. What type of position-time graph can be expected for the motion of the bicycle?
b. How can the average velocity of the bicycle be calculated?
c. How is the average speed of the bicycle related to its average velocity?
A)constant velocity/positive velocity graph
B)I don't know
C)The average speed is the absolute value of the average velocity.
a) doesnt answer the question.
b) average speed=distance/time
c)correct
I don't know what they're looking for then
the bicycle is moving in a positive direction at a constant speed?
a. Type of graph: straight line, parabola, log?
straight line graph
To answer these questions, let's start with some basic concepts.
a. What type of position-time graph can be expected for the motion of the bicycle?
In this scenario, the boy is cycling at a constant speed along a straight road. When an object moves at a constant speed, its position changes linearly with time. Therefore, you can expect the position-time graph of the bicycle to be a straight line, inclined at an angle corresponding to the speed of the bicycle.
b. How can the average velocity of the bicycle be calculated?
Average velocity is calculated by dividing the total displacement of an object by the total time taken. Displacement is defined as the change in position of an object.
To calculate the average velocity of the bicycle, you would need to know the initial position and final position of the boy, as well as the time it took for the motion. The average velocity is then given by the formula:
Average velocity = (Final position - Initial position) / Time
c. How is the average speed of the bicycle related to its average velocity?
Average speed and average velocity are related but not the same. Average speed is the total distance traveled divided by the total time taken, whereas average velocity is the total displacement divided by the total time taken.
Since the boy is cycling along a straight road, the distance traveled and displacement will be the same. Therefore, the average speed will be equal to the absolute value of the average velocity.
To summarize:
- The position-time graph for the motion of the bicycle is expected to be a straight line inclined at an angle corresponding to the speed of the bicycle.
- The average velocity of the bicycle can be calculated by dividing the total displacement by the total time taken.
- The average speed of the bicycle is equal to the absolute value of the average velocity.