Class 11 Physics Motion In A Plane Projectile Motion

Projectile Motion

An object that becomes airborne after it is thrown or projected is called projectile. Example, football, javelin throw, etc.

 

  • Projectile motion comprises of two parts – horizontal motion of no acceleration and vertical motion of constant acceleration due to gravity.
  • Projectile motion is in the form of a parabola, y = ax + bx2.
  • Projectile motion is usually calculated by neglecting air resistance to simplify calculations.

 

Quantity

Value

Components of velocity at time t

vx = v0 cosθ0

vy = v0 sinθ0–gt

Position at time t

x = (v0 cosθ0)t

y = (v0 sinθ0)t – ½ gt2

Equation of path of projectile motion

y = (tan θ0)x – gx2/2(v0 cosθ0)2

Time of maximum height

tm = v0 sinθ0 /g

Time of flight

2 tm = 2 (v0 sinθ0 /g)

Maximum height of projectile

hm = (v0 sinθ0)2/2g

Horizontal range of projectile

R = v02 sin 2θ0/g

Maximum horizontal range (θ0=45°)

Rm = v02/g

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