Amountaintop is a height y above the level ground. a woman measures the angle of elevation of the mountaintop to be θ when she is a horizontal distance x from the mountaintop. after walking a distance d closer to the mountain, she measures the angle of elevation of the mountaintop to be φ. neglecting the height of the woman’s eyes above the ground, draw a well-labelled diagram representing this situation and find an expression for the height of the mountain, y, in terms of d, φ, and θ. note that your expression cannot contain x.

An object moves from the position +34m to the position -15m in 15 seconds. what is it's total displacement? what is it's average velocity?

Consider an ordinary, helium-filled party balloon with a volume of 2.2 ft3. the lifting force on the balloon due to the outside air is the net resultant of the pressure distribution exerted on the exterior surface of the balloon. using this fact, we can derive archimedes’ principle, namely that the upward force on the balloon is equal to the weight of the air displaced by the balloon. assuming that the balloon is at sea level, where the air density is 0.002377 slug/ft3, calculate the maximum weight that can be lifted by the balloon. note: the molecular weight of air is 28.8 and that of helium is 4.

Aperson walking 1 mile everyday for exercise, leaving her front porch at 9: 00 am and returning to her front porch at 9: 25 am. what is the total displacement of her daily walk? a) 1 mileb) 0c) 25 minutes d) none of the above