You are driving your car eastward, and the traffic light ahead turns red. you apply the brakes for 3.00 s, and the velocity of the car decreases to +4.50 m/s. during this time, the car travels 26 m. what is the car's acceleration, including direction? (hint: this is a two part problem. you need to find some other quantity before finding the displacement.)

a = - 2.77 m/s², westwards

Explanation:

Given:

Time, t = 3 seconds

Final velocity of the car, v = 4.50 m/s

Distance, s = 26 m

Now,

from Newton's equation of motion

v = u + at

where,

u is the initial speed of the car

a is the acceleration

on substituting the respective values, we get

4.5 = u + a × 3

or

u = 4.5 - 3a

also,

on substituting the value, we get

or

26 = 13.5 - 9a + 4.5a

or

- 4.5a = 12.5

or

a = - 2.77 m/s²

here, the negative sign depicts that the acceleration is in opposite direction to the motion of the car.

Thus, the direction of the car is opposite to the eastward i.e westwards

and 1and 1

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