Motion detector graphs, distance vs time

[moomoocow]

hi!
a ball is dropped from a height of 1 meter above the floor. Take the origin to be the point from which the ball is released.
would the graph be like a curved graph rising to the right starting from the origin?

how would the graph look like if a car is parked on a steep hill?

thank you

 

[andrevdh]

As time progresses the downwards speed of the ball (and the car) increases. If the speed of an object increases it covers more distance in the same time. This implies that the object covers more distance in the same time interval at a later time in its motion. How should the distance - time graph have to look then? Will a straight upwards sloping graph do?

 

[kyle8921]

for your question. Based on the information provided, the motion detector graph for the ball being dropped from a height of 1 meter would indeed show a curved graph rising to the right. This is because as the ball falls, its distance from the origin increases at a faster rate over time due to the acceleration of gravity.

In the case of a car parked on a steep hill, the motion detector graph would depend on the orientation of the hill and the direction of the car's motion. If the car is parked on a hill with a steep incline, the graph would likely show a steep incline as well, indicating a rapid increase in distance from the origin. However, if the car is parked on a hill with a gentle incline, the graph may show a more gradual increase in distance. If the car is parked on a hill with a downward slope, the graph would show a decrease in distance over time as the car moves away from the origin. Ultimately, the shape of the graph would depend on the specific details of the hill and the car's position and motion.