Se lanza desde el piso una piedra con velocidad vertical de +42 m/s. El punto de referencia se encuentra en el piso. Calcular: a). Escribir la ecuación de posición y la ecuación de la velocidad. b). Calcular en que instante su velocidad es nula. c). Calcular la máxima altura que llego. (Considerar la aceleración de la gravedad: a=9.81m/s2).

Answers

Answer 1

Answer:

a)  y = 42 t - 4,905 t² ,      v = 42 - 9.81 t,  b)   t = 4.281 s , c)   y = 89.9 m

Explanation:

This problem is an example of vertical launch

a) the expression for the position is

         y = v₀ t - ½ g t²

we substitute

          y = 42 t - 4,905 t²

the expression for speed is

        v = v₀ - gt

        v = 42 - 9.81 t

b) the speed is null when v = 0

         v₀ = gt

          t = v₀ / g

          t = 42 / 9.81

          t = 4.281 s

c) for the maximum height we can use the expression

        v² = v₀² - 2gy

    at maximum height v = 0

         y = v₀² / 2g

     let's calculate

        y = 42 2/2 9.81

        y = 89.9 m


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Answer:

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