Relations between Angle of Launch, Range & Flight Time

[Temper888]

1. How do angle of launch, range, and flight time relate to one each other?



2.ΔX=vcosθ*t



3. According to the equation above,in my opinion as θ increases, range should decrease and time(t) should increase. Is there any other way of knowing the relation?

 

[cupid.callin]

3. According to the equation above,in my opinion as θ increases, range should decrease and time(t) should increase. Is there any other way of knowing the relation?

Actually as θ increase from 0, range first increase and then decrease

you can find the relation b/w range in θ this way:

Assume projectile launched at angle θ and speed u from horizontal
first find time for projectile to reach max height, do this by using Newton's first eqn ...
now double it, you get time of flight T

not for this time use simply d=vt in X direction, you get range, now you can substitute for u from any 1 eqn into another, and you get the required relation b/w angle of launch, range, and flight time