I can help you work through these questions. Let's go through each one by one to solve the specific problems. Let me know which question you'd like to start with, or if you'd prefer a particular type of explanation or solution strategy for these types of kinematics and calculus problems.

Here’s an outline of what each question is about:

1. Question 6: Involves kinematics with uniform acceleration. You're asked to find the time and speed of a car moving between checkpoints.
2. Question 7: Another kinematics problem, involving a car with uniform acceleration and a separate problem about a balloon rising with acceleration.
3. Question 8: A projectile motion problem where a stone is thrown vertically from a height, with multiple parts covering different aspects of its motion.
4. Question 9: Deals with a car accelerating from rest, requiring a speed-time graph and a distance calculation.
5. Question 10: A calculus problem involving finding stationary points on a cubic curve.

Would you like to tackle these step-by-step, or do you have a specific question in mind? Let me know!

Here are some follow-up questions I could help you with for further exploration:

1. How do we calculate time in uniform acceleration problems?
2. What formulas are essential for projectile motion?
3. How can we determine velocity at different points in an acceleration problem?
4. What techniques are used to find stationary points in calculus?
5. How does uniform acceleration differ from non-uniform acceleration?

Tip: Always list known variables and equations before solving complex motion problems to stay organized.