Problem 1 - The Square Root of 2 For any square, the Pythagorean Theorem reveals that the ratio between its diagonal and side length is Root 2. In the diagram below, this means that D/a = Root 2.

a) Using the Pythagorean theorem, mathematically prove that D/a = Root 2 for any square with side length a and diagonal length D.

b) Use a ruler to measure a and D. Write your measurements in your solution, and explain how you chose how many digits to report for each measurement.

c) Use your measurements to estimate the value of Root 2.

b. lifting dumbbell weight at 20-degree angle from the body after a 45-degree angle

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.