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You are sitting on a surfboard that is riding up and down on some swells. The board’s vertical displacement is given by

Y = (1.2m)cos((t)(1/2s) +π/6)

Find amplitude, angular frequency, phase constant, frequency, and period of the motion.
Where is the surfboard at t = 1.0s?
Find the velocity and acceleration as functions of time t.
Find the initial values of the position, velocity, and acceleration of the surfboard.
A moose is pulling a heavy sled through the snow (with friction). The sled has a mass of 65 kg. The moose applies a force of 780 N to the sled. The coefficient of kinetic friction between the sled and the snow is 0.26.
A Girl is walking along a 45 meter cliff overlooking the River when she kicks a

ball off the ledge with a horizontal velocity of 9.3 m/s. How far away will

the ball land? What will the balls velocity be when it hits the ground?

4. If the girl is 1.97 meters tall, what was the angle of impact the ball had on

the top of her head? What was the balls final velocity when it struck her? (Assume the

ball had an original horizontal velocity of 9.3 m/s)

Please step by step I am confused

I mostly just need help with the second part

The position of a particle moving along the x-axis is determined by the

equation

d^2x/dt^2+8x=20cos2t

. If the particle starts from rest at x = 0,


determine

(i) The position x as a function of time


Will it be negative work when force applied make an angle of 270 with displacement
Why is work done negative only when cos theta is 90<theta<= 180 but not when it is 90<theta <270 .
Manny is pushing a 5.0 kg box across a level floor with a force of 50.0N. The force he applies is downward and to the right at 250. The coefficient of kinetic friction between the box and the floor is 0.22. Find the acceleration of the box.
We decided to buy a force measuting instrument with the maximum acceptable design stage uncertainty of1/3N.we googled and find the force measuring instrument with the following catalogue data .s it a right instrument?
Resolution.0.2N
Full scale range :0 to 100N
Linearity error:+-0.2percent FSO p=95 percent
Hysteresis error:+-0.3percent FSO p=95 percent
Write Lz in linear momentum form.
Why can't the angle between force and displacement be 270 degrees in case of motion in a plane