A l} g bullet is ?red into a. 253 g block that is initially at rest at the edge of a. frictionless table of height 1.5 I'll. The bullet remains in the block, and after impact the black lands 1.9 m from the hettmn of the table. Find the initial speed of the bullet. The aeoeleratinn clue t0 gravity is 9.3 1T1]?r 52 . Answer in units [If mfs.

Use the formula for displacement (S) which is S = v_ot + (1/2)at² 

where S - displacement; v_o - initial velocity; t - time; a - acceleration due to gravity

Since the bullet initially at rest, the initial velocity is 0. So,

1.6 m = 0(t) + (1/2)(9.8 m/s²)(t²)

1.6 = 4.9t²

t² = 1.6/4.9

t = 0.571 sec

To get the speed, use formula 

Distance = Speed x Time

where the distance is 1.9 m and time is 0.571 sec

1.9 m = Speed x 0.571 sec

Speed = 1.9 m / 0.571 sec

Speed = 3.327 m/s