Aboat heads north across a river at a rate of 2 miles per hour. if the current is flow a boat heads north across a river at a rate of 2 miles per hour. if the current is flowing east at a rate of 5 miles per hour, find the resultant velocity of the boat. (assume that east lies in the direction of the positive x-axis and north in the direction of the positive y-axis.)

along the direction 68.19° from north.

Step-by-step explanation:

Given,

Since, north and east are perpendicular to each other, so we can write the resultant velocity in vector form as,

Hence, the magnitude of resultant velocity can be written as

Hence, the magnitude of resultant vector is \sqrt{29} moles/hour.

And the direction of the boat can be given by,

                 = 68.19°

Hence, the resultant velocity of boat is miles/hour along the direction making an angle 68.19° with the north.

constant acceleration- a

constant velocity- c

no velocity or acceleration- b

explanation:

for body moving with a constant acceleration, the rate of change of displacement changes over time. this is proven by the increasing gradient of the curve (a) against time.

a body that is moving at constant velocity covers equal distances over equal periods of time, thus the straight line with a constant gradient c.

a stationary body   covers no displacement as time elapses. thus the flat line with   zero gradient.

81 seats

step-by-step explanation:

if you multiply 0.65 times 125 then you get 81.5 seats. well since you can't have half of a seat you have to round down and get 81 seats in the no children zones. that leave 44 seats outside of the no children zone.