Question

A body with velocity 30m/s reaches its maximum height in 1.5s .Its range is (g=10m/s)

Answer 1

Hi..

Given,
v = 30 m/s       
Ф = ?
Its given....Reaches its maximum height in 1.5s
Then, sinФ = 1.5 × 10 /30 = 1/2   
 ∴ Ф = 30°

Now we know range formula:
Range =  v² Sin2Ф / g  
            =  30² × sin60 / 10  
            = 45 √3 m


Hope this helps u!!