The of the line on a velocity vs. time graph represents acceleration.

The slope of the line

Explanation:

In a velocity vs time graph, we have:

- The velocity represented along the y-axis

- The time represented along the x-axis

The slope of the line is given by

where

is the increment of the y-variable (the velocity), which therefore corresponds to the change in velocity:

is the increment of the x-variable (the time), which therefore corresponds to the change in time:

So the slope can be rewritten as

But this corresponds exactly to the definition of acceleration: so, the slope of a line on a velocity vs time graph corresponds to the acceleration.

the second one and the forth one are in the purple because they are opinions and the rest are in the yellow

explanation:

initial speed when it is dropped is 150 ft/s

now at the same moment the acceleration due to gravity is perpendicular to its velocity

so as we know that

now we have centripetal acceleration a = 32 ft/s^2 as its perpendicular to velocity

while tangential acceleration at the same moment will be zero

so

now radius of curvature is given as

so the radius of curvature just after it is dropped is 703.125 ft