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At the instant the traffic light turns green, a car that has been waiting at the intersection starts ahead with a constant acceleration of 3.20 m/s^2. At the same instant a truck, travelling with a constant speed of 20.0m/s, overtakes and passes the car. How far beyond its starting point, in metres, does the car overtake the truck?

Please explain your answer and formula used.

Respuesta :

Answer:

d = 250 m

Explanation:

As we know that car starts from rest while truck is moving at constant speed

so let say after time t they both passes through the same point

so we have

[tex]d_{truck} = d_{car}[/tex]

[tex]20 t = \frac{1}{2}(3.20) t^2[/tex]

[tex]20t = 1.6 t^2[/tex]

[tex]t = \frac{20}{1.6}[/tex]

[tex]t = 12.5 s[/tex]

so the distance moved by the truck or the car in the above time is given as

[tex]d = vt[/tex]

[tex]d = 20\times 12.5[/tex]

[tex]d = 250 m[/tex]

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