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azamat
3 years ago
5

Physics

Mathematics
1 answer:
Andrej [43]3 years ago
5 0

Answer:

a) Josef jogging from A to B;

i. speed = 2 m/s

ii. velocity = 2m/s

a) a) Josef jogging from A to C;

speed = 1.9 m/s

ii. velocity = 2.2 m/s

Step-by-step explanation:

One major difference between speed and velocity is that speed is a scalar quantity, while velocity is a vector quantity.

a) Josef jogging from A to B;

distance = 300 m

time = 2.5 seconds = 150 seconds

i. his average speed = \frac{distance}{time}

                               = \frac{300}{150}

                               = 2 m/s

ii. his average velocity = \frac{displacement}{time}

                               = \frac{300}{150}

                               = 2 m/s

b) Josef jogging from A to C,

distance = 300 + 100 = 400 m

time = 2.5 + 1 = 3.5 minutes

        = 210 seconds

i. his average speed = \frac{distance}{time}

                                  = \frac{400}{210}

                                  = 1.9 m/s

ii. his average velocity = \frac{\sqrt{V_{1} ^{2}   + V_{2} ^{2} } }{2}

V_{1} ^{2} = 4 m/s

V_{2} ^{2} = 1.9 m/s

his average velocity = \frac{\sqrt{4^{2} + 1.9^{2}  } }{2}

                                  = 2.2 m/s

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