Question

Δt = 2V sin α/g can you use this formula please

Answer 1

a) The total time of flight = 4.315 s

b) The maximum height reached = 22.83 m

Step-by-step explanation

a) The total time of flight for a projectile or the total time spent in the air by a projectile is given by the formula

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

where

T = Total time of flight of the projectile = ?

V = Initial launch velocity of the projectile = 40 m/s

α = Angle of launch withrespect to the horizontal = 34°

g = Acceleration due to gravity = 9.81 m/s²

`T=(2*40*\sin 34)/(9.81)=4.315\text{ s}`

b) The maximum height reached by a projectiole is given as

`H=(V^2\sin ^2\alpha)/(2g)`

H = Maximum height reached by the projectile

V = Initial launch velocity of the projectile = 40 m/s

α = Angle of launch withrespect to the horizontal = 34°

g = Acceleration due to gravity = 9.81 m/s²

`H=(40^2\sin ^234)/(2*9.81)=22.83\text{ m}`

Hope this Helps!!!