Constant velocity vectors and collision times: check 1
Difficulty: ★★☆Maths4U Original · Short practice
Positions in metres, at time t seconds, are \(\mathbf r_P=\left[\begin{matrix}17\\3\end{matrix}\right]+t\left[\begin{matrix}1\\3\end{matrix}\right],\quad\mathbf r_Q=\left[\begin{matrix}13\\5\end{matrix}\right]+t\left[\begin{matrix}3\\2\end{matrix}\right]\). Both velocities are constant.
Find the collision time.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Constant velocity vectors and collision times: review variant 1
Difficulty: ★★☆Maths4U Original · Short practice
Positions in metres, at time t seconds, are \(\mathbf r_P=\left[\begin{matrix}18\\4\end{matrix}\right]+t\left[\begin{matrix}2\\4\end{matrix}\right],\quad\mathbf r_Q=\left[\begin{matrix}12\\7\end{matrix}\right]+t\left[\begin{matrix}4\\3\end{matrix}\right]\). Both velocities are constant.
Find the collision time.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Constant velocity vectors and collision times: check 2
Difficulty: ★★☆Maths4U Original · Short practice
Positions in metres, at time t seconds, are \(\mathbf r_P=\left[\begin{matrix}18\\4\end{matrix}\right]+t\left[\begin{matrix}2\\4\end{matrix}\right],\quad\mathbf r_Q=\left[\begin{matrix}12\\7\end{matrix}\right]+t\left[\begin{matrix}4\\3\end{matrix}\right]\). Both velocities are constant.
Find the collision x-coordinate.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Constant velocity vectors and collision times: review variant 2
Difficulty: ★★☆Maths4U Original · Short practice
Positions in metres, at time t seconds, are \(\mathbf r_P=\left[\begin{matrix}19\\5\end{matrix}\right]+t\left[\begin{matrix}3\\2\end{matrix}\right],\quad\mathbf r_Q=\left[\begin{matrix}11\\9\end{matrix}\right]+t\left[\begin{matrix}5\\1\end{matrix}\right]\). Both velocities are constant.
Find the collision x-coordinate.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Constant velocity vectors and collision times: check 3
Difficulty: ★★☆Maths4U Original · Short practice
Positions in metres, at time t seconds, are \(\mathbf r_P=\left[\begin{matrix}19\\5\end{matrix}\right]+t\left[\begin{matrix}3\\2\end{matrix}\right],\quad\mathbf r_Q=\left[\begin{matrix}11\\9\end{matrix}\right]+t\left[\begin{matrix}5\\1\end{matrix}\right]\). Both velocities are constant.
Find the collision y-coordinate.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Constant velocity vectors and collision times: review variant 3
Difficulty: ★★☆Maths4U Original · Short practice
Positions in metres, at time t seconds, are \(\mathbf r_P=\left[\begin{matrix}20\\6\end{matrix}\right]+t\left[\begin{matrix}4\\3\end{matrix}\right],\quad\mathbf r_Q=\left[\begin{matrix}10\\11\end{matrix}\right]+t\left[\begin{matrix}6\\2\end{matrix}\right]\). Both velocities are constant.
Find the collision y-coordinate.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Constant velocity vectors and collision times: check 4
Difficulty: ★★☆Maths4U Original · Short practice
Positions in metres, at time t seconds, are \(\mathbf r_P=\left[\begin{matrix}20\\6\end{matrix}\right]+t\left[\begin{matrix}4\\3\end{matrix}\right],\quad\mathbf r_Q=\left[\begin{matrix}10\\11\end{matrix}\right]+t\left[\begin{matrix}6\\2\end{matrix}\right]\). Both velocities are constant.
Find the squared speed of P.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Constant velocity vectors and collision times: review variant 4
Difficulty: ★★☆Maths4U Original · Short practice
Positions in metres, at time t seconds, are \(\mathbf r_P=\left[\begin{matrix}21\\2\end{matrix}\right]+t\left[\begin{matrix}1\\4\end{matrix}\right],\quad\mathbf r_Q=\left[\begin{matrix}17\\4\end{matrix}\right]+t\left[\begin{matrix}3\\3\end{matrix}\right]\). Both velocities are constant.
Find the squared speed of P.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.