Maths4U Original · Short practice

The signed velocity is \(v=t^{2} - 4 t + 8\) m/s for \(0\le t\le 4\), with t in seconds.

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

The signed velocity is \(v=2 t^{2} - 12 t + 23\) m/s for \(0\le t\le 6\), with t in seconds.

Find the acceleration at \(\displaystyle t=6 s\), 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

The signed velocity is \(v=2 t^{2} - 12 t + 23\) m/s for \(0\le t\le 6\), with t in seconds.

Find the time when acceleration is zero, in 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

The signed velocity is \(v=3 t^{2} - 24 t + 54\) m/s for \(0\le t\le 5\), with t in seconds.

Find the time when acceleration is zero, in 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

The signed velocity is \(v=3 t^{2} - 24 t + 54\) m/s for \(0\le t\le 5\), with t in seconds.

Find the minimum speed on the stated 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

The signed velocity is \(v=4 t^{2} - 40 t + 107\) m/s for \(0\le t\le 7\), with t in seconds.

Find the minimum speed on the stated 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

The signed velocity is \(v=4 t^{2} - 40 t + 107\) m/s for \(0\le t\le 7\), with t in seconds.

Find the initial acceleration 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

The signed velocity is \(v=t^{2} - 4 t + 12\) m/s for \(0\le t\le 5\), with t in seconds.

Find the initial acceleration 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.