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 156-kg ultralight glider from rest to 24.9 m/s over a horizontal distance of 58.0 m? Assume that friction and air resistance are negligible, and that the tension in the winch cable is constant.

P=627.47W

Explanation:

To solve this problem we have to take into account, that the work done by the winch is

the force, at least must equal the gravitational force

with force the tension in the cable makes the winch go up.

The work done is

To calculate the power we need to know what is the time t. But first we have to compute the acceleration

The acceleration will be

and the time t

The power will be

HOPE THIS HELPS!!

see the picture for the vector

the magnitude of the vector by pythagorean theorem

r = √( (-10)^2 + (3)^2 ) = √109

magnitude = √109 units

the direction angle between vector and x-axis is

tan^(-1)(3/10) = 16.699

so the direction is approximately 16.7 degrees north of west