As shown in the figure $($Figure $1),$ a superball with mass $m$ equal to $50$ grams is dropped from a height of $h_i=1\mathrm{.}5m.$ It collides with a table, then bounces up to a height of $h_f=1\mathrm{.}0m.$ The duration of the collision $($the time during which the superball is in contact with the table$)$ is $t_c=15ms.$ In this problem, take the positive $y$ direction to be upward, and use $g=9\mathrm{.}8\frac{m}{s^2}$ for the magnitude of the acceleration due to gravity. Neglect air resistance.

Find $J_y,$ the $y$ component of the impulse imparted to the ball during the collision.

Express your answer numerically, to two significant figures.

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