A train leaves the station heading north on the tracks. It takes the train 6 seconds to reach 60 miles per hour. It completes the entire 60 mile trip in one hour. Calculate the train's average speed and velocity over the one hour trip. Show your work. Identify if each of the measurements are a scalar or vector quantity.

Given that the train which is heading north on the tracks takes 6 seconds to reach 60 miles per hour and completes the entire 60 mile trip in one hour, we can calculate the train's average speed and velocity over the one hour trip. Now right off the bat we know that the measurement we calculate for the train's average SPEED will be a scalar quantity as we are dealing with speed. On the other hand the measurement we calculate for the train's velocity will be a vector quantity as we are dealing with velocity and the quantity has both a magnitude and a direction. Now: we now that the train completed the entire 60 mile trip in one hour which means it is going 60 mph north, which is the velocity This velocity has both a magnitude (60 mph) and a direction (north). For the train's average speed we look at distance divided by time. The speed of the train is 60 miles per hour. The difference between speed and velocity is that speed is how fast an object is going with respect to a frame of reference versus velocity is a measure of the speed and direction of an object.

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.