Some gliders are launched from the ground by means of a winch, which rapidly reels in a towing cable attached to the glider. what average power must the winch supply in order to accelerate a 181-kg ultralight glider from rest to 25.7 m/s over a horizontal distance of 46.9 m? assume that friction and air resistance are negligible, and that the tension in the winch cable is constant.

Explanation:

Here we know that the glider is accelerated uniformly from rest to final speed of 25.7 m/s in total distance of d = 46.9 m

so we will have

d = 46.9

so for uniformly accelerated motion we have

now we will find the total work done given as change in kinetic energy

now power is given as

we're given that v₀ = 0 and a = 5.4 m/s². therefore, since v = at + v₀ for constant acceleration the equation for velocity is

after 28s,

m/s

which i would round to 150 m/s as my final answer