A projectile is shot from the ground at a velocity of $8 \frac{m}{s}$ $8 m/s$ and at an angle of $\frac{3 π}{4}$ $(3pi)/4$ . How long will it take for the projectile to land?

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Answer 1 · 2016-04-11T19:17:55

$t_{e} = 1, 15 s$ $t_e=1,15 " s"$

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$given data:$ $"given data:"$
$α = \frac{3 π}{4} projectile angle$ $alpha=(3pi)/4" projectile angle"$

$v_{i} = 8 \frac{m}{s} initial velocity of object$ $v_i=8 m/s " initial velocity of object"$
$g = 9, 81 \frac{m}{s^{2}}$ $g=9,81 m/s^2$

$t_{e} = ? time elapsed$ $t_e=?" time elapsed"$

$t_{e} = \frac{2 \cdot v_{i} \cdot sin α}{g}$ $t_e=(2*v_i*sin alpha)/g$

$t_{e} = \frac{2 \cdot 8 \cdot 0, 707}{9, 81}$ $t_e=(2*8*0,707)/(9,81)$

$t_{e} = 1, 15 s$ $t_e=1,15 " s"$

A projectile is shot from the ground at a velocity of 8 m/s8ms8 m/s and at an angle of (3pi)/43π4(3pi)/4. How long will it take for the projectile to land?