Acar traveling at 69 km/h hits a bridge abutment. a passenger in the car moves forward a distance of 65 cm (with respect to the road) while being brought to rest by an inflated air bag. what magnitude of force (assumed constant) acts on the passenger's upper torso, which has a mass of 47 kg?

Explanation:

In order to solve this problem we use the Energy-Work principle. The change in total energy is equal to the work done on the system:

the initial energy is only kinetics, the final energy is zero, and the work is negative and made by the constant force of the airbag:

multiple allele inheritance is traits controlled by more than 2 alleles (ex: pigeons having 3 alleles of one gene govern their feather color).

russian is not my first language, so i'm afraid i can't write out an answer in russian, but hopefully you can find a way to do so. here's my best translation of the problem: you're given a plot of a particle's position in one-dimensional space over time, and you're asked to find either the total distance traveled by the particle after 6 seconds had elapsed, or the total displacement of the particle after 6 seconds.

if you want the total distance traveled, you would first need to determine the particle's velocity as a function of time, then integrate that over the 6-second interval. we know the position function is quadratic with roots at 0 and 6, so we have

where is unknown. because the position is parabolic, there is symmetry about the midpoint at , and we know that

so that the position function is

which means the velocity is

then the total distance traveled is

so the total distance traveled is 20 m.

on the other hand, if you want to find displacement: the particle starts at and ends at , so its displacement is 0.