A remote controlled car.
My 11 year old grandson, Danny, got a remote controlled car for his birthday. His older brother, Jay, has a set of physics tools, including a sonic ranger. Jay is a computer jockey and has figured out how to make the sonic ranger program show any coordinate system he wants. He has chosen the positive direction to be away from the ranger and the origin to be a meter in front of the ranger as shown. (He knows to connect the ranger to the computer and tip it's face perpendicular so it measures correctly.)
Danny starts the car moving forward slowly. Jay turns on the sonic ranger. Then Danny speeds the car up, slows it down, and finally puts it into reverse, speeding it up going backward. From the graphs below, choose one graph, which, if it had the proper units on the vertical axis, could represent what the computer would show for the list of variables below. If none of them could work for the motion described, put N in the box and sketch what the correct graph would look like next to the box.
(a) the position of the car
(b) the velocity of the car
(c) the acceleration of the car
(d) the net force of the car
(e) Do the graphs you have chosen describe a single motion? (i.e., are the graphs consistent with each other?
hello therw
can't do without the graphs.
@Sonic The Hedgehog Your answer doesn’t matter because of your username and because Sonic has not had a good game since 2011.
To determine which graph represents the given variables, let's analyze the characteristics of each variable.
(a) The position of the car represents the location of the car at any given time. As the car moves forward, then speeds up, slows down, and finally reverses, the position would change accordingly. The graph for position should show a continuous change in value over time.
(b) The velocity of the car represents the rate at which the car's position changes over time. If the car speeds up, slows down, or reverses, the velocity would reflect these changes. The graph for velocity should show positive values when the car is moving forward, negative values when the car is moving backward, and possibly zero values when the car is stopped.
(c) The acceleration of the car represents the rate at which the car's velocity changes over time. If the car speeds up, slows down, or reverses, the acceleration would reflect these changes. The graph for acceleration should show positive values when the car is speeding up, negative values when the car is slowing down, and possibly zero values when the car maintains a constant velocity.
(d) The net force of the car refers to the overall force acting on the car, which influences its motion. The net force would depend on various factors like the car's engine power, friction, air resistance, etc. The graph for net force is difficult to determine without specific information about these factors. However, it is likely to be more complex than a simple position, velocity, or acceleration graph.
Now let's examine the provided graphs (if any) to determine if any of them could represent the given motion:
(a) The position of the car: This graph should show continuous changes in value over time, accounting for the car's forward motion, acceleration, deceleration, and reverse motion. If any of the provided graphs depict this characteristic, it could represent the position of the car.
(b) The velocity of the car: This graph should show positive values for forward motion, negative values for reverse motion, and possibly zero values when the car is stationary. If any of the provided graphs depict this characteristic, it could represent the velocity of the car.
(c) The acceleration of the car: This graph should show positive values for acceleration, negative values for deceleration, and possibly zero values when the car maintains a constant velocity. If any of the provided graphs depict this characteristic, it could represent the acceleration of the car.
(d) The net force of the car: As mentioned earlier, the net force graph would be more complex and depend on various factors that we don't have detailed information about.
(e) To determine if the chosen graphs are consistent with each other, we need to ensure that they align with the known relationships between these variables. For example, if the velocity is changing, the position should also show corresponding changes. If the acceleration is positive, the velocity should be increasing, and vice versa. If any of the chosen graphs do not align with the known relationships, they would not be consistent.
Since the graphs have not been provided, please sketch what the correct graph could look like next to the box, based on the explanations above.