Formula for time of flight ...the Range and the height?

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Amarachi19964

26 Jan, 2024


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Damorela590
2 years ago

Time of Flight:

The time of flight of projectile motion is defined as the time from when the object is projected to the time it reaches the surface. As we discussed previously, TT depends on the initial velocity magnitude and the angle of the projectile:

T=2⋅uyg

i.e.T=2⋅u⋅sinθg

where,
ux The horizontal component of velocity
uy The vertical component of velocity
T Time of flight
u Velocity magnitude
θ Projectile Angle
g Acceleration due to gravity


Maximum Height:

The maximum height is reached when v_y=0. Using this we can rearrange the velocity equation to find the time it will take for the object to reach maximum height.

h=u2⋅sin2θ2⋅g

where,
h Maximum height
g Acceleration due to gravity
u Velocity magnitude
θ Projectile Angle

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