A baseball is thrown horizontally from the top of a cliff with a speed of 30.0 meters per second. If the baseball was thrown from a height of 75.0 meters above the ground...
a. How long will it take the ball to hit the ground? [2]

b. What will be the vertical velocity of the ball the moment it strikes the ground? [2]

c. How far horizontally will the ball travel by the time it hits the ground? [2]

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.

Arod of some material 0.20 m long elongates 0.20 mm on heating from 21 to 120°c. determine the value of the linear coefficient of thermal expansion [in (degrees c)^-1] for this material.

Abar magnet cut in half will form a total ofpoles.a)fourb)eightc)two