the displacement of a body in a rectilinear motion is given as x^0+bt+ct^2.where t is time.the constant x^0,b,c are 2ms,3ms^-1,0.5ms^-2.what is the acceleration at t=2
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displacement (S) = x⁰ + bt + ct²
differentiating both sides ...
dS/dt = b + 2tc
v = b+ 2tc
Again differentiating ....
dV/dt = 0 + 2C
a = 2c
where c = 5m /s²
a = 2×5 = 10 m/s²
SINCE ACCELERATION IS NOT DEPENDENT ON T ......SO IT IS CONSTANT AND IS EQUAL TO 10m/s² .....
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