1. a block with mass m slides on a horizontal surface. the block is intially at x=0 with velocity v0.

the frictional force that the block experience is proportional to v^(3/2)

such that

F(v)=-kv^(3/2)

for positive constant K. what is the max distance that the block travel?

2. a particle of mass m is under the influences of a force F(x) that attracts the particle according to

F(x) = -kx^(-2)

where x is the distance from a fixed origin at x=0 and k is a positive constant

if the particle is released from the rest at x=d, how long does it take to reach the origin?