Awater balloon is launched from a platform 96 feet above the ground, with an initialvelocity of〈20,0,80〉ft/s. a wind causes an acceleration on the water balloontothe northof 2ft/s2. assume all of this is happening on earth.(a) what is the total acceleration acting on the water balloon? you should representthis as a vector.(b) find the velocity and position functions for the water balloon.(c) how long does it take for the water balloon to hit the ground? (d) at what (x, y,z) location does the water balloon hit the ground?