a body is thrown with an initial velocity of 10 m/s at an angle of 37 degree horizontally. find the position of vector after 1 sec
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(i) 1.2 sec, (ii) 1.8 m, (iii) 9.6 m, (iv) (16iˆ−8jˆ)−(8iˆ+jˆ)
Solution
(i) time of flight T=2usinθg=2×10×3510=65=1.2 sec
(ii) Maximum height H=u2sin2θ2g=100(925)2×10=95=1.8m
(iii) R=u2sin2θg=100×2×35×4510=24025=9.6m
(iv) x=8×1=8m
y=6×1−12×10×(1)2=1m
r→=8iˆ+jˆ
Caution : This equation does ot given the horizontal distance travelled by a projectile when the final height is not the launch height.
Maximum Range
R=u2sin2θg
for θ=45∘, R is maximum
Rmax=u2g
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