At the bottom of a hill, a car has an initial velocity of +16.0 meters per second. The car is uniformly accelerated at -2.20 meters per second squared for 5.00 seconds as it moves up the hill. How far does the car travel during this 5.00-second interval?
1.) 107m
2.) 74.5m
3.) 52.5m
4.)25.0m

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Answer:

3) 52.5 m

Explanation:

d = v₁t + 1/2at²

d = 16 m/s (5s) + 1/2(-2.2m/s²) (5s)²  = 52.5 m

The car travels for 52.5m during the 5 seconds interval

In order to get the distance traveled by car, we will use the equation of motion. The equation of motion for calculating the distance is expressed as:

[tex]S = ut+\frac{1}{2}at^2[/tex]  where;

  • u is the initial velocity
  • t is the time taken
  • a is the acceleration

Given the following parameters

u = 16m/s

a = -2.20m/s²

t = 5secs

Substitute the given values into the expression as shown:

[tex]S = 16(5)+\frac{1}{2}(-2.20)(5)^2\\S=80-1.10(25)\\S=80-27.5\\S= 52.5m[/tex]

Hence the car travels for 52.5m during the 5 seconds interval.

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