Starting from rest at the top, a child slides down the water slide at a swimming pool and enters the water at a final speed of 4.64 m/s. at what final speed would the child enter the water if the water slide were twice as high? ignore friction and resistance from the air and the water lubricating the slide.

Energy conservation law states:

At the top potential energy is at maximum and kinetic energy is zero. At the bottom potential energy is zero and kinetic energ is at maximum.

We have:


We can use this formula to calculate height:


To calculate requested speed we just need to double the height and insert it into equation:

Answertraveling around a circular trackexplanation"traveling around a circular track" is the best answer as you could be traveling around a circular track at a constant speed. your velocity would therefore have the same magnitude but will always be constantly direction. since acceleration is the rate of change of velocity, the rate of change will only involve the direction of velocity and not the magnitude.wrong choices: "an object at rest" does not accelerate at all"increasing speed while traveling around a curve" means that the acceleration will not be constant due to only change in direction; it will be constant due to both magnitude and direction"an object in free fall" does not necessarily change direction