The directions to locate a buried time capsule tell you to walk 50 paces west from the front door of your school, turn 80° to the left and walk 40 more paces. What is the magnitude of the capsules displacement from the door of the school (show your work)? A. 58.36 paces
B. 69.24 paces
C. You really don’t have a clue.
D. 64.03 paces

Aparticle of mass m is projected with an initial velocity v0 in a direction making an angle α with the horizontal level ground as shown in the figure. the motion of the particle occurs under a uniform gravitational field g pointing downward. (a) write down the lagrangian of the system by using the cartesian coordinates (x, y). (b) is there any cyclic coordinate(s). if so, interpret it (them) physically. (c) find the euler-lagrange equations. find at least one constant of motion. (d) solve the differential equation in part (c) and obtain x and y coordinates of the projectile as a function of time. (e) construct the hamiltonian of the system, h, and write down the hamilton’s equations (canonical equations) of motion.

An open cart is moving along a straight frictionless horizontal track. when rain starts falling vertically into the cart, what happens to the speed of the cart?

Which accurately compares concave and convex lenses?