A projectile is launched at an angle of 30 degrees with a horizontal and a speed of 30 m/s. How much time does it spend in the air?
The time spent by a projectile in the air is 3.06 seconds which is our final answer.
Here is how I arrived at my answer
Data: Revealed values from the question:
The angle of projection, θ = 300
Horizontal velocity, u = 30 m/s
There is also gravitational force pulling the object downward, g = 9.8 ms-2
Unknown: Unrevealed values from the question
time spent in the air, t = ?
Formula to solve the problem
t = (2usinθ) / g
We will insert our revealed values into the formula to start solving the problem
t = (2usinθ) / g = (2 x 30sin300) / 9.8
The above expression will give us
t = (60 x 0.5) / 9.8 = 30 / 9.8
Which implies that
t = 3.06 s
Therefore, the time spent in the air is 3.06 seconds.
You may also like to read:
Detail Explanation of the Dual Nature of Light