Determine the power of a 1300 kg car that can accelerate from 0 m/s to 27 m/s in just 5.20 seconds. 

  The first block is again brought to rest at equilibrium. An identical block is launched up into the first block. The new block is moving with a speed of v = 5.0 m/s when it collides with and sticks to the original block. Calculate the maximum compression of the spring, in cm, after the collision of the two blocks.

When a ball that is thrown vertically upward reaches its peak height: 

A 0.5 kg object is fired at an angle of 60° above the horizontal with an initial speed of 10 m/s. Determine the potential energy of the object at the peak of its trajectory?   

An 8 g coin is dropped from a height of 30 m. When does the coin reach the ground? ( g = 9.8 m/s2) 

The position of a particle is given by the function x(t) = 3t2 – 2t3. What is its average acceleration over the time interval from t = 0 to t = 3 s? 

A 1 kg block starts sliding up a frictionless 30° inclined plane with an initial velocity of 4.0 m/s. How far does the block go up the ramp before coming to rest? 

The skier leaves the ramp at point C traveling at an angle of 25º above the horizontal. Calculate the horizontal distance, in meters, from the point directly below C to where the skier lands.

A truck begins at rest and moves with a constant acceleration of 2 m/s2 for a period of 10 s. It then cruises at a constant speed for an additional 10 s before slowing to a stop, again with acceleration of 2 m/s2. Which graph best represents the motion of the truck?    Velocity-time graph a increases linearly from zero, stays constant for a period, then decreases linearly back to zero. Velocity-time graph b rises quickly with slight curvature, levels off briefly, then curves downward to zero. Velocity-time graph c rises and levels off, then decreases more gradually with a curved decline to zero.Velocity-time graph d forms a single smooth arch, rising from zero to a peak and then returning symmetrically to zero.

Using conservation of energy, calculate the angular speed, in rads/s of the snowball as it reaches the end of the inclined section of the roof.