a downhill ski race, surprisingly, little advantage is gained by getting a running start. (This is because the initial kinetic energy is small compared with the gain in gravitational potential energy on even small hills.) To demonstrate this, find the final speed and the time taken for a skier who skies 70.0 m along a 30º slope neglecting friction: (a) Starting from rest. (b) Starting with an initial speed of 2.50 m/s. (c) Does the answer surprise you? Discuss why it is still advantageous to get a running start in very competitive events.

Step-by-step solution Step 1 of 9 In a system where there are no dissipative forces like friction, the mechanical energy is conserved. So, for a skier moving downhill, the conservation of energy will give: Here m is the mass, is the initial velocity, is the final velocity, g is the acceleration due to gr avity and h is the height of the hill.