Starting from the origin at time \(t=0,\) with an initial velocity \(5 \hat{j}~\text{ms}^{-1}\), a particle moves in the x-y plane with a constant acceleration of \(10 \hat{i}+4 \hat{j} \) ms^-2. At time \(t,\) its coordinates are \((20~\text{m},~y_0~\text{m}).\) The value of  \(y_0\) is:

A particle has a velocity \(u\) towards the east at \(t=0.\) Its acceleration is towards the west and is constant. Let \(x_A\) and \(x_B\) be the magnitude of displacements in the first \(10\) seconds and the next \(10\) seconds respectively. Then:

A particle starts from the origin at \(t=0\) with a velocity of \(5.0\hat i\) m/s and moves in the \(x\text-y\) plane under the action of a force that produces a constant acceleration of \((3.0\hat i + 2.0 \hat j)~\text{m/s}^2\)${\mathrm{}}^{}$. What is the y-coordinate of the particle at the instant its \(x\text-\)coordinate is \(84\) m?
1. \(36\) m 
2. \(26\) m
3. \(1\) m
4. \(0\) m

A particle starts from the origin at \(t=0\) with a velocity of \(5.0\hat i\) m/s and moves in the \(x\text-y\) plane under the action of a force that produces a constant acceleration of \((3.0\hat i + 2.0\hat j)~\text{m/s}^2\). What is the speed of the particle at the instant its \(x\text-\)coordinate is \(84\) m?

A particle starts from the origin at \(t=0\) sec with a velocity of \(10\hat j~\text{m/s}\) and moves in the \(x\text-y\) plane with a constant acceleration of \((8.0\hat i +2.0 \hat j)~\text{m/s}^2\). At what time is the \(x\text-\)coordinate of the particle \(16~\text{m}\)?
1.  \(2\) s
2.  \(3\) s
3.  \(4\) s
4.  \(1\) s