Question

A motorist is driving at 19.2 m/s when she sees that a traffic light 203 m...

A motorist is driving at 19.2 m/s when she sees that a traffic light 203 m ahead has just turned red. She knows that this light stays red for 14.5 s, and she wants to reach the light just as it turns green again. It takes her 1.1 s to step on the brakes and begin slowing. What is her speed as she reaches the light at the instant it turns green?

Homework Answers

Answer #1

Solution:

Given that

u = initial speed = 19.2 m/s

x = distance travelled = 203 m

t = total time = 14.5 s

The distance travelled by motorist in 1.1 s is

The distance left to travel

Time left

The motorist now apllies brake, hence

The final speed

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A motorist is driving at 18.1 m/s when she sees that a traffic light 192 m...
A motorist is driving at 18.1 m/s when she sees that a traffic light 192 m ahead has just turned red. She knows that this light stays red for 14.6 s, and she wants to reach the light just as it turns green again. It takes her 0.9 s to step on the brakes and begin slowing. What is her speed as she reaches the light at the instant it turns green? d= Vi(t)+ 1/2a (t2) 173.9=18.1(13.7) +1/2a (13.72) --->...
You are driving your car, and the traffic light ahead turns red. You apply the brakes...
You are driving your car, and the traffic light ahead turns red. You apply the brakes for 2.83 s, and the velocity of the car decreases to + 4.98 m/s. The car’s deceleration has a magnitude of 2.87 m/s2 during this time. What is the car’s displacement?
A car is traveling at 13.0 m/s, and the driver sees a traffic light turn red....
A car is traveling at 13.0 m/s, and the driver sees a traffic light turn red. After 0.590 s (the reaction time), the driver applies the brakes, and the car decelerates at 8.00 m/s2. What is the stopping distance of the car, as measured from the point where the driver first sees the red light?
Suppose a car is traveling at +22.6 m/s, and the driver sees a traffic light turn...
Suppose a car is traveling at +22.6 m/s, and the driver sees a traffic light turn red. After 0.494 s has elapsed (the reaction time), the driver applies the brakes, and the car decelerates at 8.00 m/s2. What is the stopping distance of the car, as measured from the point where the driver first notices the red light?
A person driving her car at 53.0 km/hr approaches an intersection just as the traffic light...
A person driving her car at 53.0 km/hr approaches an intersection just as the traffic light turns yellow (see figure below). She knows that the yellow light lasts only 1.60 s before turning to red, and she is a distance D = 33.0 m away from the near side of the intersection. If she decides to stop, how far from the intersection will she come to a stop? The intersection is W =16.0 m wide. Her car's maximum deceleration is...
Paul is driving south down Pembina highway at a constant speed of 20 m/s. He sees...
Paul is driving south down Pembina highway at a constant speed of 20 m/s. He sees a truck in one of the north-bound lanes. The truck is initially stopped at the next traffic light, which is 500 m away. At this point, the light turns green and the truck starts accelerating northwards (towards Paul) at a constant acceleration of 1.2 m/s2. At what distance from the position where Paul first saw the truck, do they pass each other?
You are driving to the grocery store at 18 m/s. You are 130 m from an...
You are driving to the grocery store at 18 m/s. You are 130 m from an intersection when the traffic light turns red. Assume that your reaction time is 0.50 sand that your car brakes with constant acceleration. What magnitude braking acceleration will bring you to a stop exactly at the intersection?
Luigi is driving a steady 30 m/s when he passes Chiara, who is sitting in her...
Luigi is driving a steady 30 m/s when he passes Chiara, who is sitting in her car at rest. Chiarra, offended at his driving, begins to accelerate at a steady 2.0 m/s2 at the instant Luigi passes her. How far does Chiara drive before passing Luigi? How long does is take her to catch up to him? What is her speed as she passes him? When will she be 100 m ahead of him?
You are driving toward a traffic signal when it turns yellow. Your speed is the legal...
You are driving toward a traffic signal when it turns yellow. Your speed is the legal speed limit of v0 = 55 km/h; your best deceleration rate has the magnitude a = 5.18 m/s2. Your best reaction time to begin braking is T = 0.75 s. To avoid having the front of your car enter the intersection after the light turns red, should you brake to a stop or continue to move at 55 km/h if the distance to the...
You are driving toward a traffic signal when it turns yellow. Your speed is the legal...
You are driving toward a traffic signal when it turns yellow. Your speed is the legal speed limit of v0 = 55 km/h; your best deceleration rate has the magnitude a = 5.18 m/s2. Your best reaction time to begin braking is T = 0.75 s. To avoid having the front of your car enter the intersection after the light turns red, should you brake to a stop or continue to move at 55 km/h if the distance to the...