A particle is vertically projected upwards with an initial velocity of $22.5 m / s$ . Taking $g = 10 m / s^{2}$ find its velocity in $4$ seconds.

17.5 m / s

downwards

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17.5 m / s

upwards

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16.5 m / s

downwards

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16.5 m / s

upwards

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Solution

The correct option is A $17.5 m / s$ downwards
Taking an upward direction to be positive.
Initial velocity $u = + 22.5 m / s$
Acceleration due to gravity $g = - 10 m / s^{2}$
Time $t = 4 s$
Final velocity $v = u + a t$
$v = 22.5 - 10 \times 4 = - 17.5 m / s$
The negative sign indicates velocity to be in downward direction.

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