4 A car of mass 1200 kg is travelling along a straight horizontal road \(A B\). There is a constant resistance force of magnitude 500 N . When the car passes point \(A\), it has a speed of \(15 \mathrm {~m} \mathrm {~s} ^ { - 1 }\) and an acceleration of \(0.8 \mathrm {~m} \mathrm {~s} ^ { - 2 }\).

1. Find the power of the car's engine at the point \(A\).
   The car continues to work with this power as it travels from \(A\) to \(B\). The car takes 53 seconds to travel from \(A\) to \(B\) and the speed of the car at \(B\) is \(32 \mathrm {~m} \mathrm {~s} ^ { - 1 }\).
2. Show that the distance \(A B\) is 1362.6 m .
   \includegraphics[max width=\textwidth, alt={}, center]{172e83d8-730c-4c18-aacb-ba2596886e41-06_447_985_255_580} A block \(A\) of mass 80 kg is connected by a light, inextensible rope to a block \(B\) of mass 40 kg . The rope joining the two blocks is taut and is parallel to a line of greatest slope of a plane which is inclined at an angle of \(20 ^ { \circ }\) to the horizontal. A force of magnitude 500 N inclined at an angle of \(15 ^ { \circ }\) above the same line of greatest slope acts on \(A\) (see diagram). The blocks move up the plane and there is a resistance force of 50 N on \(B\), but no resistance force on \(A\).
3. Find the acceleration of the blocks and the tension in the rope.
4. Find the time that it takes for the blocks to reach a speed of \(1.2 \mathrm {~m} \mathrm {~s} ^ { - 1 }\) from rest.