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A projectile is launched horizontally from a he... - SS2 Physics Mechanics - Motion in a Plane Question

A projectile is launched horizontally from a height of 10 metres with an initial velocity of 20 m/s. What is the time it takes for the projectile to reach the ground?

Given:

Initial vertical velocity (Vy) = 0 m/s (since it is launched horizontally)

Initial vertical displacement (Sy) = -10 m (negative since it is moving downward)

Acceleration due to gravity (g) = 9.8 m/s2

 

Using the kinematic equation: Sy = Vyt + (1/2) x g x t2

 

-10 = 0 x t + (1/2) x 9.8 x t2

-10 = 4.9 x t2

 

Solving for t:

t2 = -10 / 4.9

t ≈ 1.428 seconds

Therefore, it takes approximately 1.428 seconds for the projectile to reach the ground.

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