An artillery shell is fired with a minimal velocity of 430 m/s at 670 above the

Question

An artillery shell is fired with a minimal velocity of 430 m/s at 670 above the horizontal. To clear an avalanche, it explodes on a mountain side 41 s after firing What is the X-coordinate relative to it's firing point? (in m) A: 3526.9580B: 4408.6975C: 5510.8718D: 6888.5898E: 8610.7372F: 10763.4216G: 13454.2769 H: 16817.8462 Submit Answer Tries 0/3 What is the Y-coordinate? (in m) A: 6252.01311 B: 7064.7748| Submit Answer Tries 0/3 C: 7983.19561 D: 9021.0110|| E: 10193.7424| F: 11518.9289|| G: 13016.389 H: 14708.5204

Explanation / Answer

a)

consider the motion along the X-direction

Vox = initial velocity = 430 cos67 = 168 m/s

X = horizontal displacement = ?

t = time = 41 sec

using the equation

X = Vox t since there is no acceleration along X-direction

X = (168) (41) = 6888.6 m

Consider the motion along the Y-direction

Voy = initial velocity = 430 Sin67

a = acceleration = - 9.81

Y = vertical displacement = ?

t = time of travel

using the equation

Y = Voy t + (0.5) a t2

Y = (430 Sin67) (41) + (0.5) (- 9.81) (41)2

Y = 7983 m

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