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evaluate the numerical value of the vertical velocity of the car at time t=0.25 s using the expression from part d, where y0=0.75m, α=0.95s^-1, and w=6.3s^-1

Respuesta :

onyebuchinnaji

The numerical value of the vertical velocity of the car at the given time is 4.91 m/s.

The given parameters;

  • time of motion, t = 0.25 s
  • displacement, y₀ = 0.75 m
  • angular acceleration, α = 0.95 rad/s²
  • angular velocity, ω = 6.3 rad/s

The final angular velocity of the car at the given time is calculated as;

[tex]\omega_f = \omega_o \ + \ \alpha t\\\\\omega_f = 6.3 \ + \ 0.95(0.25)\\\\\omega_f = 6.54 \ rad/s[/tex]

The numerical value of the vertical velocity of the car at the given time is calculated as;

[tex]v= \omega r\\\\v = \omega_f y_o\\\\v = 6.54 \times 0.75 \\\\v = 4.91 \ m/s[/tex]

Thus, the numerical value of the vertical velocity of the car at the given time is 4.91 m/s.

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