Question

A projectile is projected with an initial velocity of 40 m/s at a 45o angle to the horizontal. , calculate the total time travelled.

Answer 1

5.77 s

Step-by-step explanation:

From the question,

The total time travelled by the projectile = Time of flight (T)

T = 2usinθ/g............ Equation 1

Where T = Time of Flight of the projectile, u = Initial velocity, θ = Angle of projection to the horizontal, g = acceleration due to gravity

Given: u = 40 m/s, θ = 45°

Constant: g = 9.8 m/s²

Substitute these values into equation 1

T = 2(40)sin(45°)/9.8

T = 80sin(45°)/9.8

T = 80×0.7071/9.8

T = 5.77 s