At t=0, Balloon A is 100 feet above the ground. Its rate of ascent (in feet per

Question

At t=0, Balloon A is 100 feet above the ground. Its rate of ascent (in feet per minute) at t minutes is a(t)=-0.3:43.9t-2.928. The graph of the rate of ascent of Balloon A is below. 10 a(t) 10 15 -5 t (in minutes) (a) Find the longest interval over which Balloon A is rising. from t= 12 X to t=1 x minutes (b) The altitude (in feet) of balloon B at t minutes is B(t)-0.2°-3.2+100. Give the formula for b(t), the rate of ascent (in feet per minute) of Balloon B. b(t)=10.4t-3.2 (c) How fast is Balloon A moving when Balloon B is at its lowest altitude? (Include units with your answer.) (d) Find the time at which Balloon A is rising the fastest. t=-1610.93 X minutes Submit Answer Save Progress

Explanation / Answer

(a) From 1 minute to 10 minutes the particle moves fastely

(b) By differentiation the rate of ascent 0.4t-3.2

(c)At 8 minutes the ball on is raising fast

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