Question #20786

A projectile is launched horizontally with the velocity of 30 milliseconds after 3 milliseconds at the magnitude of the vertical component of velocity is approximately
what milliseconds at the magnitude of the vertical component of velocity is approximately what a second

Expert's answer

Task:

A projectile is launched horizontally with the velocity of 30m0.001s=30000ms30\frac{m}{0.001s} = 30000\frac{m}{s} . What is the magnitude of the vertical component of velocity after 3 milliseconds? What is the magnitude of the vertical component of velocity after 1 second?

Solution:

h(t)=gt22=vy(t)22gh (t) = \frac {g \cdot t ^ {2}}{2} = \frac {v _ {y} (t) ^ {2}}{2 g}vy(0.003s)=g2t2=gt=9.810.003ms=0.02943msv _ {y} (0. 0 0 3 s) = \sqrt {g ^ {2} \cdot t ^ {2}} = g \cdot t = 9. 8 1 \cdot 0. 0 0 3 \frac {m}{s} = 0. 0 2 9 4 3 \frac {m}{s}vy(1s)=g2t2=gt=9.811ms=9.81msv _ {y} (1 s) = \sqrt {g ^ {2} \cdot t ^ {2}} = g \cdot t = 9. 8 1 \cdot 1 \frac {m}{s} = 9. 8 1 \frac {m}{s}

Answer:

vy(0.003s)=0.02943msv _ {y} (0. 0 0 3 s) = 0. 0 2 9 4 3 \frac {m}{s}vy(1s)=9.81msv _ {y} (1 s) = 9. 8 1 \frac {m}{s}

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