Aswan on a lake goes airborne by flapping its wings and running on top of the water. if the swan must reach a velocity of 6.00 m/s to take off, and it accelerates from rest at an average rate of 0.35 m/s2, how far will it travel before becoming airborne?

51.42 m

Explanation:

Given

Swan must reach a velocity of 6 m/s to take off

and it accelerates from rest at an average rate of 0.35 m/s^2

Applying equation of motion

Where v=final velocity

u=initial velocity

s=distance covered

a=acceleration

here u=0

s=51.42 m

given data:

determine the horse power (h.p) = ?

force applied to move the box(f) = 10 pounds,

box lifted from a distance         (d) = 3 feet

time taken to lift                         (t) = 10 sec,

the horse power is defined as amount of work required to move a load. the horse power is equal to 550 foot-pound per second

                  1 h.p   = 550 foot-pound/second

it can also be defined as the the load that need to be move a body for certain distance in a certain amount of time.

mathematically,

                      h.p = (force × distance)/ time

                            = (10 × 3)/ 10

                            = 30/10

                            = 3 foot -pound/sec

hence, the horse power is needed to move the box is 3 foot-pound/second

important note: 1 h.p = 550 foot-pound/second = 746 watts