A​ hot-air balloon is rising vertically18 ft/sec while the wind is blowing horizontally at7​ft/sec. Find the speed v of the balloon and the angleθit makes with the horizontal. The​ balloon's speed is __​ft/sec, and it is rising at an angle of__°to the horizontal. (Round to the nearest whole number as​ needed.)

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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A​ hot-air balloon is rising vertically18 ft/sec while the wind is blowing horizontally at7​ft/sec. Find the speed v of the balloon and the angleθit makes with the horizontal. The​ balloon's speed is __​ft/sec, and it is rising at an angle of__°to the horizontal. (Round to the nearest whole number as​ needed.)

 

An airplane has an airspeed of400​km/h bearing42°north of east. The wind velocity is70​km/h in the direction25°north of west. Find the resultant velocity representing the path of the airplane with respect to the ground.

 

What is the actual ground speed of the​ aircraft?__​km/h(Do not round until the final answer. Then round to the nearest tenth as​ needed.)

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