You are driving at 15.0 m/s when you suddenly slam on the brakes to avoid a collision. You come to a complete stop. When you stop your acceleration is determined by your tires and the road conditions, and it is a constant -10.3 m/s2. The skidmarks you leave behind can be measured to determine
your displacement. How long will your skid marks be?
A. 14.3 m
B. 32.7 m
C. 10.9 m
D. 28.6 m

Ahydroelectric plant takes energy from water and turns it into electrical energy. what are the transformations of energy in the water molecules that are used in the process of generating electricity this way?

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.

The image shows a pendulum in simple harmonic motion the pendulum starts at a and swing to e