Centripetal acceleration at a constant velocity and projectile motion are realistic comparisons, but only in this particular scenario. It should be noted that the vector quantity of both needs to be taken into consideration when answering this question. The vector component of centripetal acceleration moves inward, while outward for projectile motion. So, in essence, centripetal acceleration and projectile motion are not the same thing.
No.
The only thing required for an object to show uniform circular motion is a constant centripetal force. The object will have constant speed and kinetic energy, but its velocity, acceleration, momentum, and displacement will change continuously.
In Simple motion, there is no force being applied. The moving object moves in a straight line with constant velocity. In acceleration, there is a force applied. The object's velocity is changing. The first derivative of acceleration is velocity. The first derivative of velocity is distance. (Derivative is a calculus thing.)
is experiencing a centripetal acceleration directed towards the center of the merry-go-round due to the circular motion. This acceleration constantly changes the direction of the child's velocity, even though the speed may remain constant, resulting in acceleration.
If there wouldn't be air resistance and gravity is the only thing that is effecting the projectile, the projectile will start to fall but it horizontal velocity will remain the same. So it would slow down, it would only change height.
Force accelerates things. If the thing isn't already moving, then acceleration can result in motion. Any force works.
Through acceleration. Gravity and acceleration are equivalent: they're each associated with a force that's proportional to the mass of the object. Amusement parks take advantage of this in "virtual reality" theaters: they simulate acceleration with gravity, by rocking the seats backward or forward to simulate speeding up or slowing down. Artificial gravity in space is the converse: simulating gravity with acceleration. Acceleration can be linear or centripetal. Continuous linear acceleration requires continuous energy input. The kinetic energy is proportional to the velocity squared. It's prohibitively expensive and doesn't allow you to stay any place for very long -- including near-earth orbit. Centripetal acceleration is acceleration toward a center point -- it changes the direction of motion but not the tangential speed. Everything that rotates experiences "artificial gravity." That's why curves in roads -- especially high-speed race tracks -- have to be banked. For an object spinning in space without friction, it takes energy to start and stop the rotation, but it doesn't take any energy to sustain a constant rotation. Conservation of momentum keeps the object spinning. Constant centripetal acceleration (through rotation) is much more sustainable than constant linear acceleration, and it also allows the spinning thing to remain in orbit around the Earth or Sun or other planet. You can find an artificial-gravity calculator on-line at: http://www.artificial-gravity.com/sw/SpinCalc/ You can find more information at: http://www.artificial-gravity.com/
Sure. If there is any positive acceleration (in the direction of motion) then the speed is increasing. It doesn't matter whether the acceleration is increasing, decreasing, or staying constant. As long as acceleration (in the direction of motion) remains positive, the thing keeps speeding up.
no
It doesn't.Gravity is one thing that can provide centripetal force.Another one is a string, like the one that keeps the yo-yo spinning in a circle around your head.
The similarity between rectilinear motion and curvilinear motion is that both involve movement of particles of an object.The similarity between rectilinear motion and curvilinear motion is that both involve movement of particles of an object.
They are the same factors affecting any other kind of force. If the centripetal force is gravitational, then it depends on the masses of the two bodies involved and the distance between them. If it's electrostatic, then it depends on their charges and the distance between them. If it's the force that bends a car around a curve, then it depends on the bank in the pavement and the coefficient of friction between the road and the tires.