The graph between maximum height attained and the time of flight of a particle thrown vertically upward with a variable speed will be
a. straight line
b. parabola
c. ellipse
d. hyperbola
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Given : The graph between maximum height attained and the time of flight of a particle thrown vertically upward with a variable speed
To Find : Shape of Graph
a. straight line
b. parabola
c. ellipse
d. hyperbola
Solution
Let say speed = U
Time to reach maximum height = t
using V = U + at
=> 0 = U - gt
=> t = U/g
Time of flight = 2t
= 2U/g
S = ut + (1/2)at²
H = U(U/g) + (1/2)(-g)(U/g)²
=> H = U²/g - U²/2g
=> H = U²/2g
=> H = U . U/2g
=> H = UT/4
=> H = (U/4) T
T = 2U/g
H = U²/2g
H ∝ T²
Hence Parabola
graph between maximum height attained and the time of flight of a particle thrown vertically upward with a variable speed will be
parabola
Learn More:
The graph between maximum height attained
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