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Olympiad workbook

Exam: Olympiad workbook
Subject: NSEP
Chapter: Motion in One Dimension

Olympiad workbook · NSEP · Motion in One Dimension

A particle moves according to the law x=a t, y=a t(1-α t) where a...

A particle moves according to the law

x=a t, y=a t(1-\alpha t)

where

a

and

\alpha

are positive constants and

t

is time. The time instant at which velocity makes an angle

\frac{\pi}{4}

with acceleration is

Options

A $\frac{4}{\alpha}$
B $\frac{3}{\alpha}$
C $\frac{2}{\alpha}$
D $\frac{1}{\alpha}$

Correct answer

D. $\frac{1}{\alpha}$

Step-by-step solution

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