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## Homework Statement

An object moves with its position obeying x=5t^2-6t^2 and y=3t^-1+4t^4. What is the magnitude of its acceleration at t=1s;

a)57 m/s^2

b)34 m/s^2

c)26 m/s^2

d)44 m/s^2

e)0 m/s^2

## Homework Equations

x=5t^3-6t^2

y=3t^-1+4t^4

## The Attempt at a Solution

Second derivative of the displacement x is;

ax=30t-12 m/s^2

Second derivative of the displacement y is;

ay=8t m/s^2

t=1 -> ax

ax = 18

t=1 -> ay

ay = 8

Resultant acceleration = sqrt(18^2+8^2) = 19.69

Which is wrong according to the answer I found online which was a) 57 m/s^2. Anyone show me where I've messed up or is the answer I found wrong?

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