*(4 points) The Human is Both the Launcher and the Projectile!
In a broad jump, someone squats and then pushes off with their legs to see how
far they can jump horizontally. Let’s think about some specific numbers.
a) Suppose someone can push off the ground with an acceleration of 1.25g upwards. (You don’t need to consider any angle for this part – consider a vertical jump for simplicity.) Suppose this push off takes them 0.300 s. What is their speed when they leave the ground?
b) Let’s suppose the answer found in a) is a reasonable maximum launch speed for any angle. For this situation (launch height = landing height), the maxi- mum horizontal distance corresponds to a launch angle of 45 degrees. What is the maximum distance someone can jump given this launch speed?
c) Test angles slightly higher and lower than 45 degrees to reassure yourself that you found the max distance in b).