Draw the following graphs representing motion of an object under free fall. Neglect air resistance. (i) Variation of position with respect to time. (ii) Variation of velocity with respect to time. (iii) Variation of acceleration with respect to time
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1) s-t graph will be an exponential function,show an upward curve passing through origin
take note that it may not necesseraly pass through origin it could pass through any point on y axis(position)depending on initial observation
why?because the object is exposed to a constant downward force/acceleration which means the closer it gets to the source of the force,the greater will be the distance covered in a single unit of time,hence both velocity and change in distance will grow exponentially.
2)your second question can also be answered by the above explanation,a graph with an upward curve but remember to make this curve less steeper than the st graph.
why?beacuse in the same interval of time position can change a minum of two times and for the same interval you can make only one observation for velocity which is change in position with respect to time hence you need atleast two values of position to calculate velocity thus the st graph will grow rapidly in the same amount of time as compared to st graph.
3)Since we assume the gravitational field as a uniform field,it will cause a constant acceleration for every mass hence it will be a straight line parallel to x axis orinating from 9.8 in the y axis because acc=9.8 m per second per second
take note that it may not necesseraly pass through origin it could pass through any point on y axis(position)depending on initial observation
why?because the object is exposed to a constant downward force/acceleration which means the closer it gets to the source of the force,the greater will be the distance covered in a single unit of time,hence both velocity and change in distance will grow exponentially.
2)your second question can also be answered by the above explanation,a graph with an upward curve but remember to make this curve less steeper than the st graph.
why?beacuse in the same interval of time position can change a minum of two times and for the same interval you can make only one observation for velocity which is change in position with respect to time hence you need atleast two values of position to calculate velocity thus the st graph will grow rapidly in the same amount of time as compared to st graph.
3)Since we assume the gravitational field as a uniform field,it will cause a constant acceleration for every mass hence it will be a straight line parallel to x axis orinating from 9.8 in the y axis because acc=9.8 m per second per second
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Answer:
Your answer is as followed
Explanation:
Position time graph of the object would be a parabola opening downwards.
its velocity-time graph will show a uniform velocity but in negative direction because the direction of velocity is downwards as the object is in free fall (by Cartesian rules)
Acceleration time graph would be a straight line and it would be parallel to the time axis but in negative side of acceleration axis. Acceleration is negative because acceleration due to gravity is always towards the center of the earth and so it is negative. And please note that there is no change in acceleration as g is constant.
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