Question

Can someone help me with these 2.

All my answers are apparently wrong on number 11.

9
A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of v = 13.5 m/s. The cliff is h 36.0 m above a flat, horizontal beach as shown in the fiqure (a) What are the coordinates of the initial position of the stone? Yo36 (b) What are the components of the initial velocity? ox13.5 Voy 0 m/s m/s (c) Write the equations for the x- and y-components of the velocity of the stone with time. (Use the following as necessary: t. Let the variable t be measured in seconds. Do not include units in your answer.) 0gt

11

Answer 1

9.(a) co-ordinates of initial point are C = Om y = 36m origin Bottom of the ceild (6) Horizontal component (Vox), Vertical comp. Voy). Vox = V. Sin 90 - 13.5 m/s Voy - V. CO890 = 0 (c) Equation for the ac, y components of velocity Va = Vo Sin 90 = 13.5 m/s i.e., constant. Vy = g.+= 9.81.t NOTE: YOU MIGHT BE FILLING DATA IN WRONG FORMAT OTHERWISE YOUR ANWER WAS CORRECT. SO, READ INSTRUCTIONS THERE (d) for the positions of stone with Equation time. BC = 13.50.t y=0+1 gt?

but Y= h-yl {as origin is at e bottom.} Y= h - 12gt2 y = 36.0-4.9+ using equation h=0+ $8+ Sto 2.71056] to 2.710 Sec (f) vertical component of final velocity Vy - 9.812.710 = 26.60 m/s also Vx = 13.5 m/s In RH co-ordinate system V = 13.5 Î - 26.60ġ m/s IVFI= 29.82 m/s - 13.5 m/s 26.60

e = tanpa so 0 = 63.091° 11. S-IMA 16 t: 4 sec. TITTT. (a) Initial co-ordinates of coin C: O y=% (b) Initial components of velocity. Vize = 8.1 Cos 16 Vix = 7.786 m/s Viry = 8.1 Sinis Viny = 2.232 mle (C) Equation for x, y component of position.

20= 7.786.t y'= 2.232t+4xgxt? Height from which it was thrown. 8 = 2.232/4 + $*9.8x4²=165.728m y = h-y 1 y = 165.73 - 2.327-4.9+ (d) Horizontal Range (R) R- Viet = 7.786x4 R= 31.144 m (e) " Height from which it was thrown. h = 2.2 32x4 + $*q.8x4?- 165.728m corresponding Equatim is 10 = 2.32€ +4.9€2 solving, we got t = 1.211 Sec and. - 1.68 Sec as time can't be negative t-1.211 Sec

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