Using the conservation of energy, explain what happens to a ball as it falls from the top of a building.
When the ball starts on top of a building, it has built up energy called potential energy. As the ball continues to fall it starts to transfer from potential into kinetic energy since the velocity is increasing. However, conservation of energy states that the total amount of energy from kinetic and potential added together stays consistent throughout since energy cannot be created nor destroyed.
A red car leaves Chicago traveling 55 mph. A blue car left some time later trying to catch up while driving 68 mph. It took the blue car 3 hours to catch the red car. How much time did the red car leave before the blue car? (Round to the nearest minute)
We can solve this problem using Distance(d)=Rate(r) x Time(T) Both cars had to travel the same distance for the blue car to catch the red car, so we can say that r of the Blue Car x T of the Blue Car= r of the Red Car x T of the Red Car Now we can substitute in for variables: 68 x 3= 55 x T (Time of the red car is our variable to solve for) 204= 55 x T (We will now divide both sides by 55 to isolate variable T) 204/55= 55/55 x T 3.709=T So, the red car had been traveling for 3.709 hours. The question asks, how much longer was the red car traveling to the closest minute? 3.709 hours- 3 hours= 0.709 hours longer. To convert this to minutes we will multiply 0.709 by 60. 0.709x60= 42.55 minutes, to the closest minute would be 43 minutes that the red car had been traveling before the blue car left.
How can we use the properties of linear and projectile motion to scientifically enhance sports and become masters of our sport?
Knowing the interactions and equations relative to displacement, time, velocity, acceleration, and angles, we can prepare and anticipate what happens in sports. For example, a soccer player will have to know the correct angle and velocity to accurately place a ball in the net. Knowing certain variables we can also solve for the specific numbers.