If body is projected at an angle 30⁰ with horizontal with velocity 440 cm/s the time flight is -----
a) 0.4 sec b) 0.550 sec
c) 0.448 sec d) 0.5 sec
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Time of tht of the body is 0.448 sec Option.
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c) 0.448 sec
Step-by-step explanation:
We have :
→ Velocity of projection = 440 cm/s
→ Angle of projection = 30°
→ Acceleration due to gravity = 9.8 m/s²
sin 30° = 0.5
Firstly let's convert the unit of velocity of projection from cm/s to m/s.
1 cm/s = 0.01 m/s
440 cm/s = 440(0.01)
4.4 m/s
From formula for 'Time of Flight' of a projectile':
T = 2usine/g
Where :
- T is the time period.
- u is the velocity of projection.
- e is the angle of projection.
- g is acceleration due to gravity.
Substituting values, we get :
T= (2x 4.4 x 0.5)/9.8
T = 4.4/9.8
T = 0.448 sec
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