A body is thrown horizontally from top of a tower and strikes the ground after three seconds at an angle $45^{\circ}$ with horizontal. Find the height of the tower and initial speed of body.

Question

$$(a)\;98.2\; m,12.2\; m/s \quad (b)\;19.8\; m,14.6 m/s \quad (c)\;12.1\;m,19.2 m/s \quad (d)\;44.1\;m,29.4 m/s$$