(1) A test balloon has an accelerometer attached to it. After you release it and start collecting data it is 5 ft in front of you and 16 ft above you, and it is moving 5 ft/s to your left and 4 ft/s upward. The accelerometer returns data which fits the function ft (t) =6th-2 (a) Write the initial conditions for this problem. (b) Find the velocity as a function of time. (c) Find the velocity at the time t = 2s in physical form. (d) What is the tangential acceleration of the balloon? (e) What is the centripetal acceleration of the balloon? ft 2 $2 (1) A test balloon has an accelerometer attached to it. After you release it and start collecting data it is 5 ft in front of you and 16 ft above you, and it is moving 5 ft/s to your left and 4 ft/s upward. The accelerometer returns data which fits the function (t)=6t2- 2 (a) Write the initial conditions for this problem. 77 = P(os) = 5ft x + 165+ -> V = (os) = 554/5 4 +45 + /s = (b) Find the velocity as a function of time. = + salt) dt = 5% y +4 + 6 st de - 2 (2 = 3 $ + 5 5 5 1 y + ( 4 * -25% 2 =) 2 (c) Find the velocity at the time t 2 s in physical form. (25)=3(25) +5 + y + (4th - 2 (25)) =12+5 = 8 135% (+) (d) What is the tangential acceleration of the balloon at t-2 s? Interpret this physically. a = v. (25) at 3 =(1+) (1252 * -2/322) = =144 56/52 SPEEDING UP (e) What is the centripetal acceleration of the balloon at t=2)s? Interpret this physically. an = .a(zs) 3 = (-3 + 1 ) (12 5 % 2 * -254/12 27 =-603 54/32 => TURNING RIGHT