9a driver has a reaction time of 0.50 s, and the maximum deceleration of her car is 6.0 m/s2. she is driving at 20 m/s when suddenly she sees an obstacle in the road 50 m in front of her.

Question

Matilda Cline

Physics

12 January, 08:05

9a driver has a reaction time of 0.50 s, and the maximum deceleration of her car is 6.0 m/s2. she is driving at 20 m/s when suddenly she sees an obstacle in the road 50 m in front of her.

+1

Answers (1)

Know the Answer?

Kylee Sherman · Answer 1

The distance traveled during the reaction time is

d₁ = = (20 m/s) * (0.50 s) = 10 m

The deceleration is 6.0 m/s²

The distance, d₂, traveled until the car comes to a complete stop is given by

(20 m/s) ² - 2 * (6.0 m/s²) * (d₂ m) = 0

d₂ = 400/12 = 33.333 m

The total distance traveled before the car comes to rest is

d₁ + d₂ = 10 + 33.333 = 43.333 m

Because 43.333 m is less than 50 m, the car will not hit the object.

Answer:

The car comes to a stop before reaching the object. It will not hit the object.