Traveled distance? Science & motion?

Question

Two questions

A car travelled at an average speed of 45 km/h for 1.25 h, then at an average speed of 65 km/h for 45 minutes. How far did it travel in total?

A driver travels by car at 105 km/h [E] for 1.0 h. She then drives for 2.0 h at 82 km/h [W]. Determine her:
-resultant displacement
-average velocity
-distance traveled
-average speed

Answer 1

1) To find the total distance traveled, use the following formula:

Distance = Rate*Time

When using the formula, make sure the units are consistent. For example, convert 45 min to hr (equivalent to 3/4 hr).

Distance=R1*T1+R2*T2 = (45 km/hr)(1.25 hr)+(65 km/hr)(0.75 hr)

Distance = 105 km
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2)Displacement is defined as the distance from the origin. First we need to find the distances for the two intervals.

Distance 1 = (105 km/hr)(1 hr) = 105 km EAST
Distance 2 = (82 km/hr)(2 hr) = 164 km WEST

Since these two directions oppose each other, the resultant distance will be going WEST because that distance is greater. Therefore:

Displacement = 164 - 105 = 59 km WEST

Velocity is defined as Distance/Time. In this case, since velocity is a vector, the definition is Displacement/Time. Thus,

Velocity = (59 km)/(3 hr) = 19.67 km/hr WEST

Distance traveled calculates the total distance regardless of direction. Thus,

Distance = (105 km/hr)(1 hr)+(82 km/hr)(2 hr) = 269 km

Speed is the same as velocity, but it is a scalar quantity, not a vector. Thus, direction does not matter.

Speed = (Total Distance)/(Time) = (269 km)/(3 hr) = 89.67 km/hr

Summarizing, Speed and Distance are scalar quantities (do not have direction) whereas Displacement and Velocity are vector quantities (have a direction)

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Hope this helps

Answer 2

The regulation of Conservation of Mass states that count style would be unable to be created nor destroyed. From this, we can logically end that the Universe has continually been there. yet how does this make journey? by employing employing definition, the be huge unsleeping "supernatural" means that it will no longer be able to be defined by employing employing organic and organic regulations. For the huge Bang to have happened in accordance to the organic and organic regulations we already understand, it may could desire to be a limiteless progression of expansions and contractions, that can advise there replaced into by employing no means a beginning off to it. it somewhat is the situation theists make the errors of arguing from loss of information; by using fact the start of the huge Bang would be unable to be defined, God could desire to have carried out it. even even with the undeniable fact that, by using certainty that there replaced into "no longer some thing" (I placed citation marks around it by using fact that's no longer thoroughly real) till now the huge Bang, as properly the undeniable fact that brought about it to happen replaced into no longer confident by employing employing the regulations of the Universe, by using fact it did no longer exist yet. in all possibility, then, some thing could have come from "no longer some thing."

Answer 3

S = S1 + S2 = v1 * t1 + v2 * t2 = 105 m

average velocity = (v1 * t1 + v2 * t2) / (t1 + t2) = 89.67km/h
S = S1 + S2 = v1 * t1 + v2 * t2 = 269 km