# Vincent rolls a 10 g marble down a ramp and off the table with a horizontal velocity of 1.2 m/s. The marble falls in a cup placed 0.51 m from the table's edge. How high is the table?

Nov 28, 2015

$0.89 \text{m}$

#### Explanation:

Always get the time of flight first as this is common to both vertical and horizontal components of the motion.

The horizontal component of velocity is constant so:

$t = \frac{s}{v} = \frac{0.51}{1.2} = 0.425 \text{s}$

Now considering the vertical component:

$h = \frac{1}{2} \text{g} {t}^{2}$

$\therefore h = 0.5 \times 98 \times {0.425}^{2} = 0.89 \text{m}$