7 In this question the \(x\) - and \(y\)-directions are horizontal and vertically upwards respectively and the origin is on horizontal ground.
A ball is thrown from a point 5 m above the origin with an initial velocity \(\binom { 14 } { 7 } \mathrm {~ms} ^ { - 1 }\).
- Find the position vector of the ball at time \(t \mathrm {~s}\) after it is thrown.
- Find the distance between the origin and the point at which the ball lands on the ground.