A man stands on roof of a house and drops a ball of mass M (from rest) from a height of 10 m above the ground. Its speed just before it hits the ground is?

Vf = 14 [m/s]

Explanation:

To solve this problem we must use the following equation of kinematics, which is independent of the mass of the object.

where:

Vf = final velocity [m/s]

Vo = initial velocity = 0

g = gravity acceleration = 9.81 [m/s²]

x = distance = 10 [m]

Now replacing:

Vf² = 0 + (2*9.81*10)

Vf = 14 [m/s]

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  distance on the y-axis and time on the x-axis.

explanation:

the instantaneous velocity = change in position/time taken

the slope of the graph should give instantaneous velocity.

  slope of a graph = change in value of y -axis / change in values of x -axis

  comparing both the equations

    change in value of y -axis = change in position

  change in values of x -axis = time taken

so position values should be on the y axis and time values should be on the x axis.

distance on the y-axis and time on the x-axis.