Maths4U Original · Short practice

For \(0\le t\le 5\), acceleration is \(a=8 t + 4\) \(\displaystyle \frac{m}{s^{2}}\). Initially \(\displaystyle v= \frac{7m}{s}\).

Find the velocity at \(\displaystyle t=5 s\), in m/s.

Enter one exact number or fraction unless the question specifies rounding. Use the requested units and positive direction; enter the number without its unit. Angles here use degrees. Give full reasoning separately for written problems.

Maths4U Original · Short practice

For \(0\le t\le 2\), acceleration is \(a=2 t + 5\) \(\displaystyle \frac{m}{s^{2}}\). Initially \(\displaystyle v= \frac{8m}{s}\).

Find the velocity at \(\displaystyle t=2 s\), in m/s.

Enter one exact number or fraction unless the question specifies rounding. Use the requested units and positive direction; enter the number without its unit. Angles here use degrees. Give full reasoning separately for written problems.

Maths4U Original · Short practice

For \(0\le t\le 2\), acceleration is \(a=2 t + 5\) \(\displaystyle \frac{m}{s^{2}}\). Initially \(\displaystyle v= \frac{8m}{s}\).

Find the change in velocity over that interval, in m/s.

Enter one exact number or fraction unless the question specifies rounding. Use the requested units and positive direction; enter the number without its unit. Angles here use degrees. Give full reasoning separately for written problems.

Maths4U Original · Short practice

For \(0\le t\le 3\), acceleration is \(a=4 t + 6\) \(\displaystyle \frac{m}{s^{2}}\). Initially \(\displaystyle v= \frac{9m}{s}\).

Find the change in velocity over that interval, in m/s.

Enter one exact number or fraction unless the question specifies rounding. Use the requested units and positive direction; enter the number without its unit. Angles here use degrees. Give full reasoning separately for written problems.

Maths4U Original · Short practice

For \(0\le t\le 3\), acceleration is \(a=4 t + 6\) \(\displaystyle \frac{m}{s^{2}}\). Initially \(\displaystyle v= \frac{9m}{s}\).

Find the displacement over that interval, in m.

Enter one exact number or fraction unless the question specifies rounding. Use the requested units and positive direction; enter the number without its unit. Angles here use degrees. Give full reasoning separately for written problems.

Maths4U Original · Short practice

For \(0\le t\le 4\), acceleration is \(a=6 t + 2\) \(\displaystyle \frac{m}{s^{2}}\). Initially \(\displaystyle v= \frac{3m}{s}\).

Find the displacement over that interval, in m.

Enter one exact number or fraction unless the question specifies rounding. Use the requested units and positive direction; enter the number without its unit. Angles here use degrees. Give full reasoning separately for written problems.

Maths4U Original · Short practice

For \(0\le t\le 4\), acceleration is \(a=6 t + 2\) \(\displaystyle \frac{m}{s^{2}}\). Initially \(\displaystyle v= \frac{3m}{s}\).

Find the acceleration at \(\displaystyle t=4 s\), in \(\displaystyle \frac{m}{s^{2}}\).

Enter one exact number or fraction unless the question specifies rounding. Use the requested units and positive direction; enter the number without its unit. Angles here use degrees. Give full reasoning separately for written problems.

Maths4U Original · Short practice

For \(0\le t\le 5\), acceleration is \(a=8 t + 3\) \(\displaystyle \frac{m}{s^{2}}\). Initially \(\displaystyle v= \frac{4m}{s}\).

Find the acceleration at \(\displaystyle t=5 s\), in \(\displaystyle \frac{m}{s^{2}}\).

Enter one exact number or fraction unless the question specifies rounding. Use the requested units and positive direction; enter the number without its unit. Angles here use degrees. Give full reasoning separately for written problems.