AN #10 Begin Date: i19 013 12.01W AM Due Date: 21/2018 10:0 WAM End Date: 2018 1

Question

AN #10 Begin Date: i19 013 12.01W AM Due Date: 21/2018 10:0 WAM End Date: 2018 10:ww M (50%) Problem 1: A fireworks shell is accelerated at constant acceleration from rest to a velocity of 66 ms over a distance of m. de 5096 Part (a) How long, in seconds, does the acceleration last? r=0.15-/Correct! : 5096 Part (b) Calculate the acceleration, in meters per second squared. Grade Summary Potential1 sinO cos tan 8 9 cotan in c4 5 6 atano lacotan0-1 sinh01 . 1 1 | 2 | 3 cosh tanh cotanbo Amempts remainis 0% attempt) detsiled -D Degrees Radians Submit Hint tion per hint. Hints remaining Feed back: deduction per feedback.

Explanation / Answer

problem 1

a) accelaration = (final velocity - initial velocity)/time

=> a = (v - u)/t = 66/t

=> s = ut + 0.5at2 => 5 = 0*t + 0.5(66/t)t2 => 5 = 33t => t = 5/33 s = 0.15 s

b) a = 66/t = 66/(5/33) = 66*33/5 = 435.6 m/s2  

Problem 2

a) v = u + at = u - gt  

=> 0 = u - gt => t = u/g

s = ut + 0.5at2

=> 955 = u(u/g) - 0.5g(u/g)2

=> 955 = 0.5u2/g

=> u = sqrt(955 x 2 x 9.8) = 136.81 m/s

b) total flight time = t + t = 2t = 2u/g = 2 x 136.81/9.8 = 27.921 s

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