Final answer:
To predict a puck's maximum height, you apply physical equations related to energy and motion. False is the correct answer for a rock gaining kinetic energy when thrown upwards and whether a boy must exert exactly 100 N to push a box up a ramp. True answers concern the Pythagorean theorem's application for calculating the resultant vector of two perpendicular vectors.
Step-by-step explanation:
To predict hf, the puck's maximum height above the starting point, you can use principles of physics related to energy conservation and kinematics. If you know the initial velocity and angle at which the puck is launched, you can use equations of motion to determine the maximum height. The specific equation you would use to calculate the velocity of an object as it hits the ground, given its initial height (h), is one derived from the conservation of energy principle or kinematics, for example, v = sqrt(2gh) where v is the final velocity, g is the acceleration due to gravity, and h is the height. As for the True/False questions: 1) Throwing a rock into the air would increase its potential energy, not kinetic, as it gains height (False). 2) The Pythagorean theorem is indeed used to calculate the resultant of two vectors at right angles to each other (True). 3) The boy pushing a box up a ramp would be exerting a force along the ramp, not directly lifting the box, so it's not necessarily 100 N (False).