Aturtle, moving at a constant velocity of 0.9 m/s due south, is in a race with a rabbit, who runs at a moderate speed of 9 m/s. when the turtle is 45 m from the finish line, the rabbit begins taunting the turtle by running from the turtle to the finish line (without crossing it) and back to the turtle. the rabbit continues going back and forth between the turtle and the finish line until the turtle crosses the finish line. about how many meters does the rabbit travel as the turtle travels that last 45 m? assume the rabbit always runs at 9 m/s and doesnt lose any time changing direction.

450 metres

Explanation:

The turtle travels at 0.9m/s

The rabbit travels at 9m/s

The rabbit moves ten times as fast as the turtle.

For the last 45 m:

If the rabbit moves ten times as fast as the turtle, then the rabbit traveled

(45×10)m = 450metres.

Mathematically,

Velocity = Distance/time

Vturtle = 45/t

0.9 = 45/t

0.9t = 45

t= 45/0.9

t= 50seconds

In 50 seconds, the rabbit has traveled

Distance = Vrabbit × time

Distance = 9m/s × 50s

Distance traveled by rabbit in that time frame is 450m as opposed to the turtle's mere 45m

air exerts forces on falling objects near earth’s surface.

explanation:

the term 'free falls' refer to object that are falling towards the earth, in a situation in which gravity is the only force acting on the object.

for an object in free fall, the acceleration is constant (g, the gravitational acceleration), and so the velocity of the object constantly increases.

for objects near earth's surface, there is always another force acting on the object: the resistance due to the air. this force is opposed to the direction of fall of the object, and it is proportional to the velocity of the object, so as the object falls down, this force increases up to a point when it balances the force of gravity, and the object continues its motion at constant velocity (called terminal velocity). since in this case gravity is not the only force acting on the object, we are not in a situation of free fall.