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NTA Abhyas 2020

Exam: NTA Abhyas
Year: 2020
Subject: Physics
Chapter: Motion in Two Dimensions

NTA Abhyas 2020 · Physics · Motion in Two Dimensions

A horizontal smooth square platform ABCD is moving towards the...

A horizontal smooth square platform

ABCD

is moving towards the right with a uniform speed

v

. At what angle

\theta

must a particle slide from

A

, on the platform, with speed

u

so that it strikes the point

B

? (Assume

u

to be uniform and

u > v

)

A horizontal smooth square platform ABCD is moving towards the right with a uniform speed v . At what angle θ must a

Options

A ${\text{sin}}^{-1}\left(\dfrac{u}{v}\right)$
B ${\text{cos}}^{-1}\left(\dfrac{v}{u}\right)$
C ${\text{cos}}^{-1}\left(\dfrac{u}{v}\right)$
D ${\text{sin}}^{-1}\left(\dfrac{v}{u}\right)$

Correct answer

B. ${\text{cos}}^{-1}\left(\dfrac{v}{u}\right)$

Step-by-step solution

A horizontal smooth square platform ABCD is moving towards the right with a uniform speed v . At what angle θ must a

⇒ \text{u} \text{cos} \theta \text{t} = \text{v} \text{t}

⇒ \text{u} \text{cos} \theta = \text{v}

\text{cos} \theta = \dfrac{\text{v}}{\text{u}}

\theta = {\text{cos}}^{-1} \left(\dfrac{\text{v}}{\text{u}}\right)

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