Potential and kinetic energy equations?

Question

An acrobat on skis starts drom rest 53.2 m aboove the grouund on a frictionless track and flies off the track at a 48.6 degree angle above the horizontal and at a height of 10.4 m. Disregard air resistance.

A)What is the skier's speed when leaving the track?

B)What is the maximum height attained?

Answer 1

Energy conservation: mg(h1-h2) = 0.5*m*v^2, m is massss of acrobatttt, h1=53.2 m aboooove the ground, h2=10.4 m, g=9.81m/s^2, hence v=sqrt(2*9.81*(53.2-10.4)) = 29m/s;
Thus vertical component of speed u = v*sin(48.6°) = 29*sin(48.6°) = 21.75m/s, so his potential energy mgh=0.5m*u^2, hence h = 24.11m; the total height h2+h=34.51m is maxxxx

Answer 2

ability skill is comparable to saved skill. The "saved" skill is held interior the gravitational field. once you raise a heavy merchandise you exert skill which later will grow to be kinetic skill while the item is dropped. a improve motor from a curler coaster exerts ability skill while lifting the practice to the precise of the hill. the better the practice is lifted via the motor the extra ability skill is produced; to that end, forming an more suitable volume if kinetic skill while the practice is dropped. on the precise of the hills the practice has a extensive volume of ability skill, even though if it has little or no kinetic skill. The be conscious "kinetic" is derived from the Greek be conscious which ability to circulate, and the be conscious "skill" is the skill to circulate. to that end, "kinetic skill" is the skill of action --this is skill to do artwork. the quicker the physique strikes the extra kinetic skill is produced. The extra effective the mass and velocity of an merchandise the extra kinetic skill there will be. because of the fact the practice hastens down the hill the skill skill is converted into kinetic skill. there is amazingly little ability skill on the backside of the hill, yet there's a brilliant volume of kinetic skill.

Answer 3

well the equation for potential energy is mass X height
2
kinetic engery is 1/2mass X speed
speed is squared just to let you know