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ANSWER :
OPTION A
GIVEN :
- Velocity of projection =20√3
- angle with the horizontal =60°
SOLUTION :
(a)Time of flight
As per the formula ,
T =2 u sin x / g
T =2×20√3 sin 60° /10
T = 40√3×√3/20
T=2×3
T=6 sec
(b) Range
Range is the horizontal distance covered by the projectile during it's motion
R = u² sin 2 x / g
R = u² 2 sin x . cos x /g
R = 40×3 sin 60 .cos 60/g
R = 40×3×√3×1/2×2×10
R=120√3/40
R =3√3 m
(3) Max Height
H = u ² sin ² x / 2 g
H = 40×3( √3)²/(2)² ×2 g
H = 120×3 /8g
H =360/8g
H =4.5 m
(d) At max height the vertical component of velocity becomes zero
Hence ,
U x = u cos x
U x = 20√3 cos 60°
U x = 20√3 /2
U x = 10 √ 3 m/s²
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