A Corolla starts 200m west of the town square and moves with a constant velocity of 15 m/ s tow ard the east. Draw a graph that represents the motion of the Corolla.
a. Where will the car be 10 minutes later?
b. When will the car reach the town square?
a. T = 10 s (?)
d = 200 - V*T = 200 - 15*10 = 50 m. W. of the town square.
b. d = V*T = 200.
15*T = 200,
T =
To draw a graph that represents the motion of the Corolla, we can use a position-time graph. The x-axis represents time (in seconds) and the y-axis represents the position (in meters).
1. Start by plotting the initial position of the Corolla, which is 200m west of the town square. This point will be on the left side of the graph, at -200m on the y-axis.
2. Since the Corolla is moving towards the east with a constant velocity of 15 m/s, the graph will be a straight line slanting upwards from left to right. The slope of the line represents the velocity.
3. To plot the position of the Corolla after 10 minutes (600 seconds), we need to find the displacement during this time period. Since the velocity is 15 m/s towards the east, the displacement is given by:
Displacement = Velocity * Time = 15 m/s * 600 s = 9000 m.
Therefore, the new position of the Corolla will be 9000m east of the initial position. Plot this point on the graph.
4. To determine when the car will reach the town square, we need to find the time at which the position is 0m (the position of the town square).
Since the car is moving at a constant velocity towards the east, it will take the same amount of time to travel from the initial position to the town square as it takes to travel from the town square to the final position.
Therefore, we can find the time it takes for the car to reach the town square by dividing the initial displacement by the velocity:
Time = Displacement / Velocity = 200m / 15m/s ≈ 13.3 seconds.
Plot this point on the graph at 0m on the y-axis.
Now you have a graph that represents the motion of the Corolla.
a. To find where the car will be 10 minutes (600 seconds) later, locate the point on the graph at 600 seconds on the x-axis and read the corresponding position on the y-axis. In this case, the car will be 9000m east of the initial position.
b. To find when the car will reach the town square, locate the point on the graph at 0m on the y-axis and read the corresponding time on the x-axis. In this case, the car will reach the town square after approximately 13.3 seconds.