Areas and gradients on velocity-time graphs · Short practice
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Recall
Areas and gradients on velocity-time graphs — objective 1
Maths4U Original · Short practice
A velocity-time graph joins (0,0), (2,11), (5,11) and (7,0) with straight segments. Time is in s and rightward velocity in m/s.
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.
Fresh review variant
Areas and gradients on velocity-time graphs — objective 1
Maths4U Original · Short practice
A velocity-time graph joins (0,0), (3,12), (7,12) and (10,0) with straight segments. Time is in s and rightward velocity in m/s.
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.
Method
Areas and gradients on velocity-time graphs — objective 2
Maths4U Original · Short practice
A velocity-time graph joins (0,0), (3,12), (7,12) and (10,0) with straight segments. Time is in s and rightward velocity in m/s.
Find the signed acceleration during the final segment 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.
Fresh review variant
Areas and gradients on velocity-time graphs — objective 2
Maths4U Original · Short practice
A velocity-time graph joins (0,0), (4,13), (9,13) and (13,0) with straight segments. Time is in s and rightward velocity in m/s.
Find the signed acceleration during the final segment 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.
Apply
Areas and gradients on velocity-time graphs — objective 3
Maths4U Original · Short practice
A velocity-time graph joins (0,0), (4,13), (9,13) and (13,0) with straight segments. Time is in s and rightward velocity in m/s.
Find the total displacement 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
Areas and gradients on velocity-time graphs — objective 3
Maths4U Original · Short practice
A velocity-time graph joins (0,0), (5,14), (11,14) and (16,0) with straight segments. Time is in s and rightward velocity in m/s.
Find the total displacement 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.
Check understanding
Areas and gradients on velocity-time graphs — objective 4
Maths4U Original · Short practice
A velocity-time graph joins (0,0), (5,14), (11,14) and (16,0) with straight segments. Time is in s and rightward velocity in m/s.
Find the average velocity 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
Areas and gradients on velocity-time graphs — objective 4
Maths4U Original · Short practice
A velocity-time graph joins (0,0), (2,7), (9,7) and (15,0) with straight segments. Time is in s and rightward velocity in m/s.
Find the average velocity 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.