# 1011 Time of launching a ship | Rectilinear Translation

**Problem 1011**

A ship being launched slides down the ways with constant acceleration. She takes 8 sec to slide (the first foot | 0.3048 meter). How long will she take to slide down the ways if their length is (625 ft | 190.5 m)?

**Solution**

$s = v_it + \frac{1}{2}at^2$ where $v_i = 0$

Thus

$s = \frac{1}{2}at^2$

English Units |
SI Units |

$1 = \frac{1}{2}a(8^2)$
$a = 0.03125 \, \text{ ft/sec}^2$ $625 = \frac{1}{2}(0.03125)t^2$ $t = 200 \, \text{ sec}$ $t = 3 \, \text{ min } 20 \, \text{ sec}$ |
$0.3048 = \frac{1}{2}a(8^2)$
$a = 0.009\,525 \, \text{ m/sec}^2$ $190.5 = \frac{1}{2}(0.009\,525)t^2$ $t = 200 \, \text{ sec}$ $t = 3 \, \text{ min } 20 \, \text{ sec}$ |

Subscribe to MATHalino.com on