Question

Eyjafjallajökull is a volcano in Iceland. Ina research reuption a projectile is ejected with an initial velcony of 304 feet per second. The height H, in feet is given the equation H=16t^2 + 304t

Answer 1

t = 9.5 seconds

Explanation:

Given that,

The initial velocity of the projectile is 304 ft/s

The height of the projectile is given by :

`H=16t^2 + 304t`

For maximum height,

Put h' = 0

`h'=-32t+304`

or

`-32t+304=0\\\\t=(304)/(32)\\\\t=9.5 \ s`

So, the time taken to reach the maximum height is 9.5 seconds.