Yhyjyk

I've seen many videos on youtube like this, but this was the most surprising one, where US police is chasing for 5,10,15 minutes to the criminal (who drives with either stolen car or his car) and police is just chasing those persons endlessly (until they stop by accident or for some reasons).

I just don't understand, why police don't immediately stop them (either blocking the car or crashing it), and instead, allows the criminals to drive for half-an-hour and destroy many things on roads and kill people (who knows how many them were in cars).

This doesn't relate to only that specific video or either tanks only, but there are plenty of videos like this, showing how police doesn't take any action in such occasions, until the robbers stop themselves...

There are various practical considerations such as the fact that a spike strip is not effective against a tank. The main legal reason is that in the US, a seizure (arrest) must be reasonable under existing interpretations of the 4th Amendment. A person has a constitutional right to his life and property, and police force potentially infringes that right. For example, stopping a jaywalker with a shotgun blast would be unreasonable force, and could open the government up to a section 1983 lawsuit (referring to 42 USC 1983). So while the police are motivated to protect lives and property and to enforce the law, their use of force has to be reasonable.

There is no mechanical procedure for determining, in any arbitrary instance, where the line is between reasonable and unreasonable force. The courts have determined that it is whatever force a reasonable officer would use in the given circumstances. More force is justified if the reasonable officer believe that he or others are in imminent danger of serious bodily injury or death, and lack of such a reasonable belief could lead to a protracted low-speed car chase to arrest a suspect. There are guidelines that help police make these decisions, see this for example, and department will have specific rules about use of force.

There is a tradeoff between spending more time waiting for a suspect to stop, and using force to stop a vehicle. One way to stop a fleeing vehicle is with a spike strip, but that will destroy property and is likely to cause injury, so you need a policy. Here is a policy in Ohio, which begins by stating that

Due to the unique conditions within the community we serve the agency
designee has determined that high speed pursuits are generally
restricted to exigent circumstances, and when occurring are
authorized and closely monitored by supervisors.

Spike strips can be used in some circumstances, but not all. That is, police have to follow the law in making an arrest.

It's estimated that as many as 300-400 people die per year due to police pursuit of suspect vehicles or less than 1 person out of every 100 million people in the united states... the per capita rate of all fatalities due to motor vehicles peaked at just shy of 30 per capita in 1937 and in the modern times it's been around 1/3rd of that, you do not need to be a mathematician to see that pursuits are rarely fatal... in fact, both the Tank pursuit incident and the similar "Kill Dozer" incident were non-lethal to bystanders because a tank is many scary things, but a silent killer is not one of them, and most motorists tend to be intelligent enough to get out of the way of an approaching tank (if you watch some of the tank footage, you can even see a few times where the tank swerves to hit a car in front of it, only for the car to quickly get out of the way and be much better at getting away from the tank. The "Kill Dozer" was worse as in addition to being a bulldozer, it was layered in re-enforced concrete, which made it even slower and harder to maneuver... which lead to it's stopping).

As for more conventional vehicles being chased, the police do take several factors into consideration... traffic conditions, the hostility of the car's occupants, the threat of the occupants to a possible hostage in the car or himself (notably what happened in the OJ Simpson Pursuit... Simpson was suicidal and the cops were trying to talk him out of suicide... to say nothing of the fact that his driver was a quasi-hostage) and the equipment available to them (is there a helicopter in the air?)

If the driver isn't shooting at the cops and traffic is light, it may be best to hold back and follow from a distance... especially if there is a chopper (doesn't need to be a helicopter, as local news choppers often are familiar with police pursuit tactics to a degree that they can assist as effectively as the police copter as they have the cameras and the height and can record and most stations are all too happy to help because police chase stories can quadruple a network's ratings during the entire pursuit (and back in the 90s most news stations had copters because that was the best way for traffic reports and many still do for other big stories such as major fires or accidents).

In these cases, the more dangerous manuvers are not as favorable as let the car run out of gas and follow behind as almost escorts alerting possible unsuspecting motorists to pull aside and keep from crashing. It's for safety of everyone involved, not because the cops really love Michael Bay films.