A0.23 kg mass at the end of a spring oscillates 2.0 times per second with an amplitude of 0.15 m

part a

determine the speed when it passes the equilibrium point.

part b

determine the speed when it is 0.10 m from equilibrium.

part c

determine the total energy of the system.

part d

determine the equation describing the motion of the mass, assuming that at t=0, x was a maximum.

determine the equation describing the motion of the mass, assuming that at , was a maximum.

x(t)=(0.075m)cos[2π(2.0hz)t]
x(t)=(0.15m)sin[2π(2.0hz)t]
x(t)=(0.15m)cos[2π(2.0hz)t]
x(t)=(0.15m)cos[(2.0hz)t]

Astudent throws a water balloon with speed v0 from a height h = 1.76 m at an angle θ = 21° above the horizontal toward a target on the ground. the target is located a horizontal distance d = 9.5 m from the student’s feet. assume that the balloon moves without air resistance. use a cartesian coordinate system with the origin at the balloon's initial position. (a) what is the position vector, rtarge t, that originates from the balloon's original position and terminates at the target? put this in terms of h and d, and represent it as a vector using i and j. (b) in terms of the variables in the problem, determine the time, t, after the launch it takes the balloon to reach the target. your answer should not include h. (c) create an expression for the balloon's vertical position as a function of time, y(t), in terms of t, vo, g, and θ. (d) determine the magnitude of the balloon's initial velocity, v0, in meters per second, by eliminating t from the previous two expressions.