cailynpark08
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A cyclist traveled 70km moving at a constant speed. Write doesn't a formula that shows the dependence of the speed, v, on the time, t. Find v(5), v(7), v(3.5)

Respuesta :

Answer: v(t)= (70km/t0)*t

Step-by-step explanation:

t0= the original time that it took to do the 70km that isn't given here and t is the variable for each time it asks for such as 5, 7, 3.5

onyebuchinnaji

The formula that shows that speed depends on time of motion is [tex]v(t) = \frac{70}{t}[/tex]

The speed when time of motion is 5 hours = 14 km/h

The speed when time of motion is 7 hours = 10 km/h

The speed when time of motion is 3.5 hours = 20 km/h

The given parameters;

distance traveled, s = 70 km

The relationship between the distance traveled, speed and time of motion is given as;

s = vt + ¹/₂at²

where;

a is the acceleration of the motion

at constant speed, the acceleration = 0

s = vt

The formula that shows that speed depends on time of motion is given as;

[tex]v = \frac{s}{t} \\\\v = \frac{70}{t}[/tex]

To find the speed when,

  • t = 5 hours

[tex]v(5) = \frac{70}{5} = 14 \ km/h[/tex]

  • t = 7 hours;

[tex]v(7) = \frac{70}{7} = 10 \ km/h[/tex]

  • t = 3.5 hours;

[tex]v(3.5) = \frac{70}{3.5} = 20 \ km/h[/tex]

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