A car travelling at 23 miles per hour accelerates to 46 miles per hour in 5 seconds. It maintains that speed for 5 seconds before it slows to a stop in 5 seconds. Sketch and label a graph showing the car's speed over time.
its a !! even though this question was forever ago it brings me some piece of mind knowing that it has been answered
Cannot graph on these posts.
what is the answer i need to know
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To sketch and label a graph showing the car's speed over time, we need to understand the different stages of the car's motion.
1. Initial acceleration: The car accelerates from 23 miles per hour to 46 miles per hour in 5 seconds.
2. Constant speed: The car maintains a speed of 46 miles per hour for 5 seconds.
3. Deceleration: The car slows down from 46 miles per hour to a complete stop in 5 seconds.
Let's label the x-axis as time in seconds and the y-axis as speed in miles per hour.
a. Initial acceleration:
- Start with a point at (0 seconds, 23 miles per hour), which represents the car's initial speed.
- Connect this point to (5 seconds, 46 miles per hour) with a straight line segment to show the acceleration.
b. Constant speed:
- Continue the line segment from the previous stage horizontally, maintaining a height of 46 miles per hour, representing the constant speed of the car. This segment should extend from 5 seconds to 10 seconds.
c. Deceleration:
- From the end of the constant speed segment (10 seconds, 46 miles per hour), draw another line segment downward to (15 seconds, 0 miles per hour) to show the deceleration.
The resulting graph will have the shape of an inclined line segment (acceleration), followed by a horizontal line segment (constant speed), and finally, a declining line segment (deceleration).
Remember to label the axes and indicate the different stages (acceleration, constant speed, and deceleration) on the graph.