Question

Revie Part A In a carnival booth, you win a stuffed giraffe if you toss a quarter into a small dish. The dish is on a shelf above the point where the quarter leaves your hand and is a horizontal distance of 2.45 m from this point (the figure (Figure 1)). If you toss the coin with a velocity of 5.23 m/s at an angle of 55.2° above the horizontal, the coin lands in the dish. You can ignore air resistance. What is the height of the shelf above the point where the quarter leaves your hand? IVO AQ R O ? HE Submit Request Answer Part B Figure < 1 of 1 > What is the vertical component of the velocity of the quarter just before it lands in the dish? O AS A O O ? m/s Submit Request Answer DATA CARA

Answer 1

7 TAHEL Thi . Given. V= 5.23 MS i S= 2.45 m2 0 = 55.2" ow, Initial component of relucity in x and y- diros Vi = Vo Gso = 2.985 m/s Vi = Vosing = 4.295 m/s At waw num height h. Vyzo .: Time taken to reach alt maximum height, . Ell-gt . = t =° 4.295 -0.438 second 9.81 17=0.438' second] Now, ow. Time taken to travell a distance ofs' S=V x ; x T ri T = 2.45 -0.821 secano 2.985

@ Height of the shelf 'H' [H= h-(6-4) so a h = 4y - 14.295² 2x9.81 Th= 0.94 m and 6'= (h-H) = 428(7-4) : ="$*9.8) * 0.821 -0.438)2 h-# = 0.019 m H = 0.94-0.719 So, TH= 0.22 m. 18.) vertial velouty, V.; = /289-81x 0.719 = 3.756 m/s Ei ve ye? gli]