Final answer:
The question involves determining the speed at which a car can maintain contact with the road. It relates to physics concepts like centripetal force and gravity. Exact speeds cannot be determined without additional data, such as road curvature and car mass.
Step-by-step explanation:
The question is about determining the speed at which a car can travel without losing contact with the road, especially when going over the top of a hill or similar structure. This is a classic physics problem that involves concepts such as centripetal force, gravity, and friction. The speed options provided (60 km/h, 80 km/h, 100 km/h, 120 km/h) are to be evaluated to determine which would allow a car to maintain contact with the road without being airborne or losing traction.
One way to approach this is by understanding the concept of centripetal force, which keeps an object moving along a curved path, and the force of gravity, which must be overcome to maintain contact. The car must maintain a certain minimum speed that generates enough centripetal force to counteract its weight and the gravitational pull. If it goes too fast, it might become airborne, and if it goes too slow, it might not have enough force to stay on the curved road.
Without the specifics such as the radius of the curvature or the mass of the car, we cannot provide a numeric answer but the general principle holds: There is an optimal speed range where the car will neither fly off the road nor slide due to insufficient centripetal force.
Using the information provided in the references, conversions between different units of speed can be made to understand the speeds in question better:
- 33 m/s is equivalent to 118.8 km/h, thus exceeding the 90 km/h limit.
- 80 km/h is equivalent to 22.2 m/s.
- For a car to travel 100 m, the time taken would depend on its speed.
- A speed of 10 km/h is equivalent to approximately 2.78 m/s.