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Q.

The x and y coordinates of the particle at any time are x = 5t - 2t2 and y = 10t respectively, where x and y are in metres and t in seconds. The acceleration of the particle at t = 2 is

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a

5 ms-2

b

-4 ms-2

c

-8 ms-2

d

0

answer is B.

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Detailed Solution

x=5t-2t2,  y=10tdxdt=5-4t,  dydt=10  ∴  vx=5-4t,  vy=10dvxdt=-4,  dvydt=0  ∴  ax=-4,  ay=0 Acceleration, a→=axi^+ayj^=-4i^∴ The acceleration of the particle at t=2 s is -4 ms-2
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