1 One end of a light inextensible string is attached to a block. The string makes an angle of \(60 ^ { \circ }\) above the horizontal and is used to pull the block in a straight line on a horizontal floor with acceleration \(0.5 \mathrm {~m} \mathrm {~s} ^ { - 2 }\). The tension in the string is 8 N . The block starts to move with speed \(0.3 \mathrm {~m} \mathrm {~s} ^ { - 1 }\). For the first 5 s of the block's motion, find

1. the distance travelled,
2. the work done by the tension in the string.