Our name is galileo galilei and you toss a weight upward at 20 feet per second from the top of the leaning tower of pisa (height 184 ft). (a) neglecting air resistance, find the weight's velocity as a function of time t. v(t) = 20−32t ft/s (b) find the height (in feet) of the weight above the ground as a function of time. hint [see example 8.] s(t) = 184+20t−16t2 where and when will it reach its zenith? ? ft? s

Answer

given,

velocity of weight = 20 ft/s

height of the leaning tower = 184 ft

velocity of weight

acceleration due to gravity

g = 32 ft/s

a) using equation of motion

v = u + at

v(t) = 20 - g t

v(t) = 20 - 32 t   ft/s

b)

at zenith v(t) is equal to zero

 v(t) = 20 -32 t

 0 = 20 - 32 t

  t = 0.625 s

height at instant t = 0.625 s

     s = 190.25 m

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energy stored in the capacitor= 9.72 x 10⁻⁴ j

explanation:

the energy stored in the capacitor is given by

e= 1/2 c v²

e= energy stored

c= capacitance= 1.5 µc= 1.5 x 10⁻⁶f

v= potential difference=36 v

so energy stored= e= 1/2 (1.5 x 10⁻⁶) (36)²

energy stored= 9.72 x 10⁻⁴j