Motion in a Plane - Result Question 23

25. The x and y coordinates of the particle at any time are x=5t2t2 and y=10t respectively, where x and y are in meters and t in seconds. The acceleration of the particle at t=2s is

(a) 5m/s2

(b) 4m/s2

(c) 8m/s2

(d) 0

[2017]

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Answer:

Correct Answer: 25. (b)

Solution:

  1. (b) Given:

x=5t2t2y=10t

vx=dxdt=54tvy=dydt=10

ax=dvxdt=4ay=dvydt=0

a=axi+ayja=4im/s2

Hence, acceleration of particle at (t=2s)=4m/s2



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