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2023 WAEC Physics Theory a. A projectile is fired at an angle, θ, to the horizontal with velocity, u....

Physics
WAEC 2023

a. A projectile is fired at an angle, θ, to the horizontal with velocity, u. Show that at any time, t, during the motion, the: i. horizontal component of the velocity is independent of t;

ii. vertical component of the velocity depends on t.

 

b. State the assumption on which projectile motion is based.

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Explanation

  i. From v = u + gt:
\(u_x\) = ucosθ, g = 0 (horizontal component is not affected by gravity)
\(v_x\) = ucosθ + (0)t

∴   \(v_x\) = ucosθ

 

ii. \(v_y = u_y + gt\)
∴  \(v_y = usinθ + gt\)

 

b. It assumes that the only force acting on the projectile is gravity, and there are no other forces, such as air resistance or drag, affecting its motion.


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