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Goshia [24]
3 years ago
10

Avehicle accelerates from 0 to 30 m/s in 10 seconds on a

Mathematics
1 answer:
Kryger [21]3 years ago
4 0

Answer: The velocity of the vehicle at 0 s is 0 m/s

Explanation:

The Velocity vs. Time graph of this situation is shown in the attached image. As we can see, we have five segments:

1) When the vehicle accelerates from 0 to 30 m/s in 10 seconds, which means at 0 seconds the vehicle's velocity was 0 m/s. In addition, as the vehicle goes from zero to a positive velocity, we have a positive slope.

2) Then the vehicle travels for 15 seconds at a constant velocity, that is why we do not have a slope in this section, since the vehicle kept its 30 m/s.

3) The vehicle comes to a stop in the next 5 seconds, that is why we observe an abrupt change in the graph and a negative slope.

4) The car  waits 10 seconds in that stop, again we have a line with no slope

5) Finally, the car accelerates from 0 to -10 m/s in the next 5 seconds. This means the car changed its direction.

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Alex_Xolod [135]

Answer:

AC = 15.6

Step-by-step explanation:

AC = AE + EC

By he Pythagorean theorem,

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AE = 13

Find Angle AED

tan Angle AED = 12/5

Angle AED = tan-1 (12/5)

= 67.38°

Angle AED = Angle BEC

tan (67.38°) = BC/1

BC = 2.4

1² + 2.4² = EC²

6.76 = EC²

EC = √6.76

EC = 2.6

AC = 13 + 2.6

AC = 15.6

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