Question

select the correct answer. a hot - air balloon is moving at a speed of 10.0 meters/second in the +x - direction. the balloonist throws a brass ball in the +x - direction at a velocity of +4 meters/second with respect to himself. if the ball lands after 30 seconds, about how far does it land horizontally from the point at which it was released? a. 120 meters b. 125 meters c. 300 meters d. 420 meters

Explanation:

Step1: Find ball's ground velocity

Balloon velocity: 10.0 m/s; throw velocity relative to balloon: +4 m/s. Ground velocity: $10.0 + 4 = 14$ m/s.

Step2: Calculate horizontal distance

Distance = velocity × time. Time = 30 s. Distance: $14 \times 30 = 420$ meters.

Answer:

D. 420 meters