The initial velocity of the projectile is determined as 19.6 m/s.
How to calculate the initial velocity of the projectile?
The initial velocity of the projectile is calculated by applying the following formula as shown below;
The formula for time of flight;
T = (2vi sinθ ) / g
where;
- vi is the initial velocity of the projectile
- θ is the angle of projection
- g is acceleration due to gravity
The given parameters include;
Time of flight, T = 2 s
angle of projection = 30°
acceleration due to gravity = 9.8 m/s²
The initial velocity of the projectile is calculated as follows;
2vi sinθ = Tg
vi = (Tg) / (2 sinθ)
vi = ( 2 x 9.8 ) / ( 2 x sin 30)
vi = 19.6 m/s
The complete question is below:
A projectile is launched into the air with an initial speed of vi at a launch angle of 30° above the horizontal. The projectile lands on the ground 2.0 seconds later. Find the initial velocity of the projectile.