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Question

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=2 s is:
  1. 0
  2. 5 m/s2
  3. 4 m/s2
  4. 8 m/s2

A
5 m/s2
B
4 m/s2
C
0
D
8 m/s2
Solution
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x=5t2t2
y=10t
dxdt=54t
ax=d2xdt2=4
ay=d2ydt2=0
a=ax+ay=4+0
a=4 ms2

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