Kinematics by integration and distance: check 1
Difficulty: ★★☆Maths4U Original · Short practice
A particle has velocity \(v(t)=\left(t - 4\right) \left(t - 1\right)\) m/s for \(0\le t\le 5\), with t measured in seconds.
Find the first rest time.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Kinematics by integration and distance: review variant 1
Difficulty: ★★☆Maths4U Original · Short practice
A particle has velocity \(v(t)=\left(t - 6\right) \left(2 t - 4\right)\) m/s for \(0\le t\le 8\), with t measured in seconds.
Find the first rest time.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Kinematics by integration and distance: check 2
Difficulty: ★★☆Maths4U Original · Short practice
A particle has velocity \(v(t)=\left(t - 6\right) \left(2 t - 4\right)\) m/s for \(0\le t\le 8\), with t measured in seconds.
Find the second rest time.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Kinematics by integration and distance: review variant 2
Difficulty: ★★☆Maths4U Original · Short practice
A particle has velocity \(v(t)=\left(t - 4\right) \left(3 t - 9\right)\) m/s for \(0\le t\le 7\), with t measured in seconds.
Find the second rest time.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Kinematics by integration and distance: check 3
Difficulty: ★★☆Maths4U Original · Short practice
A particle has velocity \(v(t)=\left(t - 4\right) \left(3 t - 9\right)\) m/s for \(0\le t\le 7\), with t measured in seconds.
Find the net displacement over the complete interval.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Kinematics by integration and distance: review variant 3
Difficulty: ★★☆Maths4U Original · Short practice
A particle has velocity \(v(t)=\left(t - 3\right) \left(t - 1\right)\) m/s for \(0\le t\le 4\), with t measured in seconds.
Find the net displacement over the complete interval.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Kinematics by integration and distance: check 4
Difficulty: ★★☆Maths4U Original · Short practice
A particle has velocity \(v(t)=\left(t - 3\right) \left(t - 1\right)\) m/s for \(0\le t\le 4\), with t measured in seconds.
Find the total distance over the complete interval.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Kinematics by integration and distance: review variant 4
Difficulty: ★★☆Maths4U Original · Short practice
A particle has velocity \(v(t)=\left(t - 5\right) \left(2 t - 4\right)\) m/s for \(0\le t\le 7\), with t measured in seconds.
Find the total distance over the complete interval.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.