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2 November, 20:07

A projectile is launched horizontally east at a speed of 29.4 M/s towards a wall 88.2 m away. What is the velocity of the projectile at the moment it strikes the wall?

A. 29.4 m/s down

B. 29.4 m/s east

C. 29.4 m/s at 45 (degrees) down from horizontal toward the east

D. 41.6 m/s at 45 (degrees) down from horizontal toward the east

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  1. 2 November, 20:21
    0
    Time before projectile hits wall

    = 88.2 m / 29.4 m/s = 3 seconds

    Vertical velocity of projectile after three seconds

    = 3*9.8 = 29.4 m/s

    Horizontal velocity of projectile after three seconds, assuming no air resistance

    = 29.4 m/s (given)

    Conclusion:

    velocity of projectile when it hits the wall

    = m/s

    = sqrt (29.4^2+29.4^2) m/s east-bound at 45 degrees below horizontal

    = 41.58 m/s east-bound at 45 degrees below horizontal.
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