Acceleration for Non Linear Motion

Q.

A particle's position in the x-y plane varies as $x\left(t\right)=3t^3+4t^2,y\left(t\right)=16t^4+2$

Find the acceleration vector of the particle after 1 sec of start.

1. 

2. 

3. 

4. 

Q.

A particle's position in the x-y plane varies as $x\left(t\right)=3t^3+4t^2,y\left(t\right)=16t^4+2$

Find the acceleration vector of the particle after 1 sec of start.

1. $18m/s^2\hat{i}+192m/s^2\hat{j}$

2. $3m/s^2\hat{i}+16m/s^2\hat{j}$

3. $26m/s^2\hat{i}+192m/s^2\hat{j}$

4. $7m/s^2\hat{i}+18m/s^2\hat{j}$

Q.

A rabbit runs across a parking lot on which a set of coordinate axes has, strangely enough, been drawn.
The coordinates (meters) of the rabbit's position as functions of time t (seconds) are given by

$x=-\frac{t^2}{2}+5t+20$
And $y=t^2-10t+30$

Find the acceleration at time t = 15 s?

1. $2\hat{i}-1\hat{j}$

2. $1\hat{i}+1\hat{j}$

3. $2\hat{i}+2\hat{j}$

4. $-1\hat{i}+2\hat{j}$