A car accelerates from rest to a speed of \(30\,m\,s^{-1}\) in \(15s\). What is the acceleration of the car?
\[2\,m\,s^{-2}\]
\[45\,m\,s^{-2}\]
\[450\,m\,s^{-2}\]
A motorcyclist accelerates at \(3\,m\,s^{-2}\) for \(9s\), starting from rest.
What is the motorcyclist's final speed?
\[3\,m\,s^{-1}\]
\[27\,m\,s^{-1}\]
\[81\,m\,s^{-1}\]
A motor cyclist is travelling at \(15\,m\,s^{-1}\). She accelerates at a rate of \(3\,m\,s^{-2}\) for \(3s\) to overtake a car. What is the new final speed of the bike?
\[18\,m\,s^{-1} \]
\[24\,m\,s^{-1} \]
\[30\,m\,s^{-1} \]
A jet aircraft changes speed from \(158\,m\,s^{-1}\) to \(104\,m\,s^{-1}\) in a time of \(3\cdot 3s\).
What is the acceleration of the aircraft?
\[16\cdot4\,m\,s^{-2}\]
\[-79\cdot4\,m\,s^{-2}\]
\[-16\cdot4\,m\,s^{-2}\]
The speed-time graph of a motor cycle is shown.
What is the acceleration during the first 20 seconds?
\[2.25\, m\, s^{-2}\]
\[0.80\, m\, s^{-2}\]
\[1.25\, m\, s^{-2}\]
Using the graph, calculate the acceleration of the motor cycle during the final 10 seconds.
\[0.5\, m\,s^{-2}\]
\[2.5\, m\,s^{-2}\]
\[-2.5\, m\,s^{-2}\]
A car accelerates from rest to a speed of \(15\, m\) in \(10\, s\). The car then travels at a constant speed for \(30\, sec\) before braking and coming to a halt in \(20\, sec\). What is the total distance travelled by the car?
\[525\, m\]
\[600\, m\]
\[675\, m\]
An object is dropped (from rest) and hits the ground \(3.0\,sec\) later. What is its velocity as it hits the ground?
\[3.0\,ms^{-1}\]
\[9.8\,ms^{-1}\]
\[29\,ms^{-1}\]
A car takes \(6.5\,sec\) to go from \(0\) to \(60\,mph\). The final speed of \(60\,mph\) corresponds to \(27\,ms^{-1}\).
What is the acceleration of the car?
\[9.8\,ms^{-2}\]
\[4.2\,ms^{-2}\]
\[0\,ms^{-2}\]
An object increases its velocity from rest to \(12\,ms^{-1}\) in \(5\,sec\) and continues to accelerate at this rate for a further \(10\,sec\). What will its final velocity be?
\[24\,ms^{-1}\]
\[36\,ms^{-1}\]
\[60\,ms^{-1}\]