A rock is dropped into a water well and it travels approximately 16 t2 feet in t seconds

A rock is dropped into a water well and it travels approximately 16 t2 feet in t seconds

A rock is dropped into a water well and it travels approximately 16 t2 feet in t seconds. If the splash is heard 3.5 seconds later and the speed of sound is 1087 feet/second, what is the height of the well?

Answer：
T1 + T2 = 3.5 : T1 time for the rock to reach bottom of well and T2 time for the sound to reach the top of the well.
16 × T12 = 1087 × T2 : same distance which the height of the well.
T2 = 3.5 - T1 : solve for T2
16 × T12 = 1087 × (3.5 - T1)
T1 = 3.34 seconds
Height = 16 × (3.34)2 = 178 feet (to the nearest unit)