y Notes Ask Your automobile travels on a straight road for 43 km at 47 km/h. It

Question

y Notes Ask Your automobile travels on a straight road for 43 km at 47 km/h. It then ntinues in the same direction for another 43 km at 94 km/h. (Assume that moves in the positive x direction.) (a) What is the average velocity of the car during this 86 km trip? km/h (b) What is its average speed? km/h (c) Graph x versus t and indicate how the average velocity is found on the graph x(km) x(km) second part 60 slope- 40 40 first part first part t Ch) r (h) 0.2 04 06 08 1.0 12 14 02 04 06 08 10 12 14 x(km) x(km) 80 second part 60 slopeF second part slope-V 40 40 20 first part t ch) r (h) 02 04 0.8 8 10 12 14 02 04 08 08 10 12 14 dditional Materials J Section 2.1

Explanation / Answer

Solution:

Let us go to the basics first.

Note: velocity is speed + direction; speed is speed but no particular direction. Assume the driver is driving to +ve x direction (Given).

time@ 47 km/hr = 43/47 = 0.915 hrs
time@ 94 km/hr = 43/94 = 0.457 hrs

Total time: 0.915 + 0.457 = 1.372 hrs; Total distance: 86 km

Average velocity: 86/1.372 = 62.6 km/hr in +ve x direction. (Answer a)

Average speed is the same (62.6 km/hr), but no particular direction. (Answer b)

Answer (c) Last graph (Last option) is correct. Reason: First part is for about 1 hr and second part is for about 0.4 hr which matches our calculation done above.

Thanks!!!

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