1. A ball rolls with a constant acceleration of 2.5 m/s^2 for 5.0 s with an initial velocity of 5.0 m/s. Calculate the ball’s distance from the starting point at 1.0 s intervals. Make a position-time graph for the object’s motion. In your response, show what you are given, the equation that you used, any algebra/work required, a table of data, and your graph.

Explanation:

Given that the initial velocity of the ball is , the constant acceleration is , and the time of motion is .

Denote the initial velocity be u, constant acceleration by a, and the time by and .

From the equation of motion, the distance, s, covered by the object in time, t, starting with velocity u, having constant acceleration, a, is

As the time interval is

So the time after the 1st interval is 1 s and from equation (i) the distance covered  from the starting point is,

.

The time after the 2nd interval is 2 s and from equation (i) the distance covered from the starting point is,

.

Similarly, after the 3rd interval, t=3s

.

After the 4th interval, t=4s

.

And finally, after the 5th interval, t=5s

.

The tabulated data and the position-time graph has been shown in the figure.

air exerts forces on falling objects near earth’s surface.

explanation:

the term 'free falls' refer to object that are falling towards the earth, in a situation in which gravity is the only force acting on the object.

for an object in free fall, the acceleration is constant (g, the gravitational acceleration), and so the velocity of the object constantly increases.

for objects near earth's surface, there is always another force acting on the object: the resistance due to the air. this force is opposed to the direction of fall of the object, and it is proportional to the velocity of the object, so as the object falls down, this force increases up to a point when it balances the force of gravity, and the object continues its motion at constant velocity (called terminal velocity). since in this case gravity is not the only force acting on the object, we are not in a situation of free fall.