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Standard XII

Physics

Time of Flight with Incline as Frame of Reference

A truck is mo...

Question

A truck is moving horizontally with velocity V. A ball is thrown vertically upward with velocity U at an angle $θ$ to the horizontal from the truck relative to it. The horizontal range of the shell relative to the ground is

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Solution

The correct option is B
Velocity of the ball wrt ground is
$\to v = \to u + \to v \Rightarrow v_{x} = U_{x} + V_{x} = U c o s θ + V a n d V_{y} = U_{y} + V_{y} = U s i n θ + 0$
Range wrt ground is,
R = $\frac{2 v_{x} v_{y}}{g}$
= $2 \frac{(u c o s θ + v) u s i n θ}{g}$

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A truck is moving horizontally with velocity V. A ball is thrown vertically upward with velocity U at an angleθ to the horizontal from the truck relative to it. The horizontal range of the shell relative to the ground is

The correct option is B Velocity of the ball wrt ground is →v=→u+→v⇒vx=Ux+Vx=U cos θ+Vand Vy=Uy+Vy=U sin θ+0 Range wrt ground is, R = 2vxvyg = 2(u cosθ+v)u sinθg

A truck is moving horizontally with velocity V. A ball is thrown vertically upward with velocity U at an angle $θ$ to the horizontal from the truck relative to it. The horizontal range of the shell relative to the ground is

The correct option is B
Velocity of the ball wrt ground is
$\to v = \to u + \to v \Rightarrow v_{x} = U_{x} + V_{x} = U c o s θ + V a n d V_{y} = U_{y} + V_{y} = U s i n θ + 0$
Range wrt ground is,
R = $\frac{2 v_{x} v_{y}}{g}$
= $2 \frac{(u c o s θ + v) u s i n θ}{g}$