A stone is thrown upward from the top of a building at an angle of30.0° to the h

Question

A stone is thrown upward from the top of a building at an angle of30.0° to the horizontal and with an initial speed of25.0 m/s, as in the figure. The pointof release is h = 47.0 mabove the ground.

(a) How long does it take forthe stone to hit the ground?
2


(b) Find the stone's speed at impact.
3 m/s

(c) Find the horizontal range of the stone.
4 m Suppose the stone is thrown at an angleof 31.0° below the horizontal fromthe same building (h = 47.0m) as in the example above. If it strikes the ground 57.9 m away, find the following.(Hint: For part(a), use the equation for the x-displacement to eliminatev0t from the equation for they-displacement.) (a) the time of flight 5 s

(b) the initial speed 6 m/s

(c) the speed and angle of the velocity vector with respect to thehorizontal at impact speed 7 m/s
angle 8° below the horizontal
(a) How long does it take forthe stone to hit the ground?
2


(b) Find the stone's speed at impact.
3 m/s

(c) Find the horizontal range of the stone.
4 m Suppose the stone is thrown at an angleof 31.0° below the horizontal fromthe same building (h = 47.0m) as in the example above. If it strikes the ground 57.9 m away, find the following.(Hint: For part(a), use the equation for the x-displacement to eliminatev0t from the equation for they-displacement.) (a) the time of flight 5 s

(b) the initial speed 6 m/s

(c) the speed and angle of the velocity vector with respect to thehorizontal at impact speed 7 m/s
angle 8° below the horizontal
Suppose the stone is thrown at an angleof 31.0° below the horizontal fromthe same building (h = 47.0m) as in the example above. If it strikes the ground 57.9 m away, find the following.(Hint: For part(a), use the equation for the x-displacement to eliminatev0t from the equation for they-displacement.) (a) the time of flight 5 s

(b) the initial speed 6 m/s

(c) the speed and angle of the velocity vector with respect to thehorizontal at impact speed 7 m/s
angle 8° below the horizontal (a) the time of flight 5 s

(b) the initial speed 6 m/s

(c) the speed and angle of the velocity vector with respect to thehorizontal at impact speed 7 m/s
angle 8° below the horizontal speed 7 m/s
angle 8° below the horizontal

Explanation / Answer

   we are given that    vo = 25.0 m / s    o = 30.0o    h = 47.0 m (a)    for the time of flight    vox = vocoso          =......... m / s    voy = vo sino          =.......... m / s    for the y-displacement we use    yo = 0    y = - 47.0 m    y = y - yo         =voy t - (1 / 2) g t2    t = ........... s          =.......... m / s    for the y-displacement we use    yo = 0    y = - 47.0 m    y = y - yo         =voy t - (1 / 2) g t2    t = ........... s (b)    for the speed of impact we use    vx = vox        = .......... m /s      vy = voy - g t           = - ....... m /s    v = (vx2 +vy2)       = .......... m / s (c)    the hyorizontal range of the stone willbe    x = x - xo         =(vo cos) t         =(vo cos) t         = ..........m

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