Question

The flight time of a shell shot at angle Φ and initial velocity V is T(f)= 2V/g sinΦ. Compute the average flight time for Φ in the interval [π/6,π/4]

Answer 1

Well I think the other dude is right. You're probably a lot older now however. Like 22 or something.

Answer 2

Flight time is

`T= (2V)/(g) sin \phi`

In the time interval
`[ ( \pi )/(6) , ( \pi )/(4) ]`, the average tme is

`T_(avg) = (1)/( ( \pi )/(4)- ( \pi )/(6) ) \int\limits^ ( \pi )/(6) _ ( \pi )/(4) {sin \phi } \, d \phi`

`=- (24V)/(g \pi ) [cos \phi ] _( \pi /6) ^( \pi /4)`

`= (24V)/( \pi g) (0.1589)`

`=1.214( (V)/(g) )`

Answer:
`T_(avg) =1.214( (V)/(g) )`