An airplane is fl ying with a velocity of 240 m/s at an angle of 30.0° with the horizontal, as the drawing shows. when the altitude of the plane is 2.4 km, a fl are is released from the plane. the fl are hits the target on the ground. what is the angle θ?

Explanation:

Given that,

Velocity of the  airplane, v = 240 m/s

Angle with horizontal,

The altitude of the plane is 2.4 km, d = 2400 m

Vertical speed of the airplane,

Horizontal speed of the airplane,

So, the equation of the projectile for the flare is given by :

On solving the above equation, we get the value of t as:

t = 13.04 seconds

Horizontal distance travelled,

d = 2710.23 m

Let is the angle with which it hits the target. So,

Hence, this is the required solution.