17
\includegraphics[max width=\textwidth, alt={}, center]{46d846f7-dbc6-4fd5-8e1f-bcc50cad3418-26_270_1036_274_552}
A car and caravan, connected by a tow bar, move forward together along a horizontal road.
Their velocity \(v \mathrm {~m} \mathrm {~s} ^ { - 1 }\) at time \(t\) seconds, for \(0 \leq t < 20\), is given by
$$v = 0.5 t + 0.01 t ^ { 2 }$$
17
- Show that when \(t = 15\) their acceleration is \(0.8 \mathrm {~ms} ^ { - 2 }\)
17 - The car has a mass of 1500 kg
The caravan has a mass of 850 kg
When \(t = 15\) the tension in the tow bar is 800 N and the car experiences a resistance force of 100 N
17 - Find the total resistance force experienced by the caravan when \(t = 15\)
17
- (ii) Find the driving force being applied by the car when \(t = 15\)
[0pt]
[3 marks]
17 - State one assumption you have made about the tow bar.
\includegraphics[max width=\textwidth, alt={}, center]{46d846f7-dbc6-4fd5-8e1f-bcc50cad3418-28_2492_1721_217_150}
\includegraphics[max width=\textwidth, alt={}]{46d846f7-dbc6-4fd5-8e1f-bcc50cad3418-32_2486_1719_221_150}