A projectile is shot from the ground at a velocity of $1 \frac{m}{s}$ $1 m/s$ at an angle of $\frac{5 π}{12}$ $(5pi)/12$ . How long will it take for the projectile to land?

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A projectile is shot from the ground at a velocity of $1 \frac{m}{s}$ $1 m/s$ at an angle of $\frac{5 π}{12}$ $(5pi)/12$ . How long will it take for the projectile to land?

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Answer 1 · 2016-04-02T11:17:18

$t_{e} = 0, 197 s$ $t_e=0,197" s"$

Explanation:

enter image source here
$given data:$ $"given data:"$
$initial velocity : v_{i} = 1 \frac{m}{s} (red vector)$ $"initial velocity :"v_i=1" "m/s " (red vector)"$

$angle : α = \frac{5 π}{12}$ $"angle :"alpha=(5pi)/12$

$sin α ≅ 0, 966$ $sin alpha~=0,966$

$solution:$ $"solution:"$
$formula for elapsed time : t_{e} = \frac{2 \cdot v_{i} \cdot sin α}{g}$ $"formula for elapsed time : " t_e=(2*v_i*sin alpha)/g$

$t_{e} = \frac{2 \cdot 1 \cdot 0, 966}{9, 81}$ $t_e=(2*1*0,966)/(9,81)$

$t_{e} = 0, 197 s$ $t_e=0,197" s"$

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A projectile is shot from the ground at a velocity of $1 \frac{m}{s}$ $1 m/s$ at an angle of $\frac{5 π}{12}$ $(5pi)/12$ . How long will it take for the projectile to land?

1 Answer

Explanation:

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A projectile is shot from the ground at a velocity of 1ms1 m/s at an angle of 5π12(5pi)/12. How long will it take for the projectile to land?

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A projectile is shot from the ground at a velocity of $1 \frac{m}{s}$ $1 m/s$ at an angle of $\frac{5 π}{12}$ $(5pi)/12$ . How long will it take for the projectile to land?