A golfer collected data on the distance a golf car traveled in a straight line and plotted it on a graph.
Identify which of the following statements are true or false.
(2 points)
True False
The car moved about 24 m away from the starting point between 2 s and 5 s.
True – The car moved about 24 m away from the starting point between 2 s and 5 s.
False – The car moved about 24 m away from the starting point between 2 s and 5 s.
The cart moved toward the starting point at a speed of 3 m/s between 7 s and 12 s.
True – The cart moved toward the starting point at a speed of 3 m/s between 7 s and 12 s.
False – The cart moved toward the starting point at a speed of 3 m/s between 7 s and 12 s.
The cart moved 11 m toward the starting point between 8 s and 10 s.
False - The statement does not provide information on the direction in which the cart moved, so we cannot determine whether it moved towards or away from the starting point between 8 s and 10 s.
True – The cart moved 11 m toward the starting point between 8 s and 10 s.
To determine whether the statements are true or false, we need to analyze the data plotted on the graph. The graph shows the distance the golf cart traveled in a straight line over time.
1. The statement "The car moved about 24 m away from the starting point between 2 s and 5 s" can be verified by looking at the graph. Find the point on the graph that corresponds to 2 s and another point that corresponds to 5 s. Measure the distance between these two points and check if it is approximately 24 m. Based on the graph, determine whether this statement is true or false.
2. The statement "The cart moved toward the starting point at a speed of 3 m/s between 7 s and 12 s" requires analyzing the slope of the graph during the time interval from 7 s to 12 s. To do this, find two points on the graph that correspond to 7 s and 12 s. Measure the change in distance and the change in time between these two points, and calculate the average speed. If the average speed is approximately 3 m/s, the statement is true; otherwise, it is false.
3. The statement "The cart moved 11 m toward the starting point between 8 s and 10 s" can be verified by looking at the graph. Find the point on the graph that corresponds to 8 s and another point that corresponds to 10 s. Measure the distance between these two points and check if it is approximately 11 m. Based on the graph, determine whether this statement is true or false.
By analyzing the graph and applying the appropriate calculations, you can determine the truth value of each statement.