Explain the relationship between speed and steepness of the slope of the line on the distance-versus-time graph

Explanation:

A distance-versus-time graph gives the distance an object has traveled after a given time.

In a distance-versus-time graph the slope represents the the speed of the object because is

And how steep the slope of the distance-versus-time graph is tells us how fast an object is moving; steeper the slope greater the speed. For example, a graph with slope 10 represents a greater speed than a graph with slope 2.

So the steepness of the slope of the distance-versus-time is the speed of the object, and greater the slope greater is the speed.

increasing transnational kinetic energy. because the transnational kinetic energy formula consists of only two variables, mass and velocity, increasing one of those properties is the only way to increase an object's transnational kinetic energy. increases to mass and velocity, however, do not have the same impact.

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