Two particles meeting on a straight line · Short practice
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Recall
Two particles meeting on a straight line — objective 1
Maths4U Original · Short practice
At \(\displaystyle t=0, A\) is at \(\displaystyle x=0\) and moves right at constant speed \(\displaystyle \frac{7m}{s}.B\) is \(98\) m behind A, initially has the same rightward velocity, and then accelerates right at \(\displaystyle \frac{4m}{s^{2}}\). Both clocks start at this instant.
Find the positive time when B catches A, 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.
Fresh review variant
Two particles meeting on a straight line — objective 1
Maths4U Original · Short practice
At \(\displaystyle t=0, A\) is at \(\displaystyle x=0\) and moves right at constant speed \(\displaystyle \frac{8m}{s}.B\) is \(160\) m behind A, initially has the same rightward velocity, and then accelerates right at \(\displaystyle \frac{5m}{s^{2}}\). Both clocks start at this instant.
Find the positive time when B catches A, 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.
Method
Two particles meeting on a straight line — objective 2
Maths4U Original · Short practice
At \(\displaystyle t=0, A\) is at \(\displaystyle x=0\) and moves right at constant speed \(\displaystyle \frac{8m}{s}.B\) is \(160\) m behind A, initially has the same rightward velocity, and then accelerates right at \(\displaystyle \frac{5m}{s^{2}}\). Both clocks start at this instant.
Find the meeting position measured from A’s initial position, 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.
Fresh review variant
Two particles meeting on a straight line — objective 2
Maths4U Original · Short practice
At \(\displaystyle t=0, A\) is at \(\displaystyle x=0\) and moves right at constant speed \(\displaystyle \frac{3m}{s}.B\) is \(16\) m behind A, initially has the same rightward velocity, and then accelerates right at \(\displaystyle \frac{2m}{s^{2}}\). Both clocks start at this instant.
Find the meeting position measured from A’s initial position, 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.
Apply
Two particles meeting on a straight line — objective 3
Maths4U Original · Short practice
At \(\displaystyle t=0, A\) is at \(\displaystyle x=0\) and moves right at constant speed \(\displaystyle \frac{3m}{s}.B\) is \(16\) m behind A, initially has the same rightward velocity, and then accelerates right at \(\displaystyle \frac{2m}{s^{2}}\). Both clocks start at this instant.
Find B’s velocity at the meeting, 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.
Fresh review variant
Two particles meeting on a straight line — objective 3
Maths4U Original · Short practice
At \(\displaystyle t=0, A\) is at \(\displaystyle x=0\) and moves right at constant speed \(\displaystyle \frac{4m}{s}.B\) is \(\displaystyle \frac{75}{2}\) m behind A, initially has the same rightward velocity, and then accelerates right at \(\displaystyle \frac{3m}{s^{2}}\). Both clocks start at this instant.
Find B’s velocity at the meeting, 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.
Check understanding
Two particles meeting on a straight line — objective 4
Maths4U Original · Short practice
At \(\displaystyle t=0, A\) is at \(\displaystyle x=0\) and moves right at constant speed \(\displaystyle \frac{4m}{s}.B\) is \(\displaystyle \frac{75}{2}\) m behind A, initially has the same rightward velocity, and then accelerates right at \(\displaystyle \frac{3m}{s^{2}}\). Both clocks start at this instant.
Find B’s speed relative to A at the meeting, 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.
Fresh review variant
Two particles meeting on a straight line — objective 4
Maths4U Original · Short practice
At \(\displaystyle t=0, A\) is at \(\displaystyle x=0\) and moves right at constant speed \(\displaystyle \frac{5m}{s}.B\) is \(72\) m behind A, initially has the same rightward velocity, and then accelerates right at \(\displaystyle \frac{4m}{s^{2}}\). Both clocks start at this instant.
Find B’s speed relative to A at the meeting, 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.