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The vertical velocity of the car at the given position and time is 4.905 m/s.
The angular velocity of an object in a circular motion is given as;
[tex]\omega_f = \omega _0 + \alpha t\\\\\omega _f = 6.3 \ +\ 0.95 \times 0.25 \\\\\omega _f = 6.54 \ rad/s[/tex]
The vertical velocity of the car at the given position and time is calculated as follows;
[tex]v = \omega r\\\\v = \omega_f y\\\\v = (6.54 \ rad/s)\times (0.75\ m)\\\\v = 4.905 \ m/s[/tex]
Thus, the vertical velocity of the car at the given position and time is 4.905 m/s.
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