A particle \(P\) of mass 2 kg is moving under the action of a constant force \(\mathbf { F }\) newtons. The velocity of \(P\) is \(( 2 \mathbf { i } - 5 \mathbf { j } ) \mathrm { m } \mathrm { s } ^ { - 1 }\) at time \(t = 0\), and \(( 7 \mathbf { i } + 10 \mathbf { j } ) \mathrm { m } \mathrm { s } ^ { - 1 }\) at time \(t = 5 \mathrm {~s}\).
Find
the speed of \(P\) at \(t = 0\),
the vector \(\mathbf { F }\) in the form \(a \mathbf { i } + b \mathbf { j }\),
the value of \(t\) when \(P\) is moving parallel to \(\mathbf { i }\).