Asailboat is being propelled westerly by the wind at a speed of 4 m/s. if the current is fl owing at 2 m/s to the northeast, where will the boat be in 10 min with respect to its starting position?

To solve this problem it will be necessary to apply the linear motion kinematic equations plus the law of cosines and sines. This in order to determine the resulting speed and direction of movement. Through the law of cosines we know that the final magnitude of the velocity would be

With the speed found now we can identify the distance traveled, because the displacement was made during a period of 10 minutes at the speed previously found

d = 1770m

The direction of the displacement is found using the law of sines with the velocity triangle

Since the vehicle travels from south to north and from east to west then its deployment will be:

north of due west

weight of the box is given as

here this is placed on the inclined of angle 42 degree

now this weight will have two components one is along the incline other is perpendicular to it

so here we need to apply a force parallel to incline opposite to its component of weight

so here the component of weight is given as

here we have

so it requires 75 n force to move it upwards

find the surface area of the sphere to the nearest square unit. use a calculator.

a. 254 in.2

b. 64 in.2

c. 127 in.2

d. 1,018 in.2