You are driving toward a traffic signal when it turns yellow. Your speed is the legal speed limit of Vo = 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 intersection and the duration of the yellow light are (a) 39 m and 2.9 s, and (b) 31 m and 1.6 s? Give an answer of brake, continue, either (if either strategy works), or neither (if neither strategy works and the yellow duration is inappropriate). (a) (b)

A car traveling at 33.0 km/h speeds up to 45.0 km/h in a time of 7.00 s. The same car later speeds up from 63.0 km/h to 75.0 km/h in a time of 7.00 s. Let the +x direction point in the direction the car is traveling. Calculate the magnitude a, of the constant acceleration for the first time interval. Determine the distance de traveled by the car during the first time interval. Calculate the magnitude ay of the constant acceleration for the second time interval. m/s² m/s² E

An ambulance driver is rushing a patient to the hospital. While traveling at 71.1 km/h, she notices the traffic light at the upcoming intersection has turned yellow. To reach the intersection before the light turns red, she must travel 52 m in 2.17 seconds.  What is the magnitude of the minimum acceleration, in m/s2, required to reach the intersection before the light turns red?

A car, moving to the left in a straight line in the negative x-direction, travels a distance d = 32 m during time interval Δt = 18 s. What is the value of the x-component of the car's average velocity, in m/s, during the given time interval?