Verified Solution • 2025–26 Session moderate

QNEET-2017-Ph-1001: NEET 2017 Physics - Class 11 NEET-2017-Ph-1001 Solution: The x and y coordinates of the particle at any time are \(x =…

The x and y coordinates of the particle at any time are

x = 5t - 2t^2

and

y = 10t

respectively where x and y are in metres and t in seconds. The acceleration of the particle at t = 2 s is

5\ \text{m s}^{-2}

-4\ \text{m s}^{-2}

-8\ \text{m s}^{-2}

Multiple Choice Options

A 5 m s $-$ _ 2
B $-$ _ 4 m s $-$ _ 2
C $-$ _ 8 m s $-$ _ 2
D 0

Step-by-Step Verified Solution

x = 5t _ 2t 2 and y = 10t d x d t = 5 - 4t, d y d t = 10 _ v x = 5 - 4t, v y = 10 d v x d t = - 4, d v y d t = 0 _ a x = - 4, a y = 0 a _ = a x i ^ + a y j ^ = _ 4 j ^ m/s 2 _ Acceleration of the particle at t = 2 s is - 4 m/s 2

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