The initial speed of a cannon ball is 0.20 km/s. If the ball is to strike a target that is at a horizontal distance of 3.0 km from the cannon, what is the minimum time of flight for the ball?
A) 16 s
B) 21 s
C) 24 s
D) 14 s
E) 19 s

Question

Quizplus · Accepted Answer

The minimum time of flight for the ball is when it is launched at an angle of 45 degrees. The time of flight is given by:t = 2 * v * sin(theta) / gwhere v is the initial speed and theta is the launch angle.Plugging in the given values, we get:t = 2 * 0.20 km/s * sin(45 degrees) / 9.8 m/s^2t = 16 sTherefore, the minimum time of flight for the ball is 16 s.

The Initial Speed of a Cannon Ball Is 0