You order a ride from Lyft, but the driver accidentally passes you by and, at that exact moment, steps on the brakes. He uniformly accelerates from 55 km/hr to rest in 3.0 seconds. After stopping, he takes 5 seconds to check his phone (while completely stopped). He uniformly accelerates to 10 km/hr in reverse in 2.0 seconds and travels at a constant speed until arriving at where you have been standing to pick you up (you remain at rest at the origin on the position graph the entire time). Assume that when he is next to you, he slams on the brakes and comes to rest in a distance of 40 cm. (C) What distance did it take for the driver to stop the first time (in meters)? (D) What was the total time that elapses from when the driver passes you to when he stops next to you. (E) What was the average velocity (magnitude and direction) of the driver (from the time he passed you until the time he picked you up)? (F) What was the average speed of the driver (from the time he passed you until the time he picked you up)?

Q: Two cars start from rest at a red stop light. When the light turns green, both cars accelerate…

A: Since you have posted a question with a multiple sub parts, we will solve first three sub - parts…

Q: A stone is thrown from the roof of a building with a speed of 6 m/s. It is observed that the stone…

A:

Q: The school zone in front of your school has a posted speed limit of 25 mi/h, which is about 11 m/s.…

A:

Q: A car starts from rest and accelerates uniformly over a time of 5.21 seconds for a distance of 110…

A: When a body falls freely, it experiences the acceleration equal to the gravity. It is in the…

Q: The driver of a van “times the light” and passes through an intersection at constant speed 15.0 m/s…

A:

Q: A skier left a mountain 40 m long in 10 s, after which he rode along a horizontal platform to a stop…

A: The acceleration of skier is 0.8 m when it just left the mountain. The velocity when skier reach at…

Q: Suppose a car is traveling at +21.4 m/s, and the driver sees a traffic light turn red. After 0.511 s…

A: Initial velocity (u) = +21.4 m/sReaction time (t) = 0.511 sDeceleration (a) = -5.00 m/s2 Final…

Q: Which one of the following objects has a average speed of 20 mi/hour? O A car moves a distance of 40…

A: Required : Which car has velocity 20 miles/hr

Q: You need to drive 69.7 km (43.3 miles) for an interview. The interview is at 11:15 am, you leave at…

A: The total distance to be covered is - D = 69.7 km , You decided to drive at 100 km /hr . Let's…

Q: An express train passes through a station. It enters with an initial velocity of 18.9 m/s and…

A: Given Information:- Initial velocity of the train is vi=18.9 m/s Acceleration of the train is…

Q: Suppose a car is traveling at +24.7 m/s, and the driver sees a traffic light turn red. After 0.262 s…

A: Given Data: Initial velocity of the car (vi) = 24.7 m/s.Reaction time (t) = 0.262 s.Acceleration (a)…

Q: A tricycle moving at a constant speed of 12.2 m/s approaches towards a jeep that is initially at…

A: Given: The constant speed of the tricycle is 12.2 m/s. The initial separation between vehicles is…

Q: SpaceX plans to transport humans to Mars, but experienced a few rocket failures while on initial…

A: initial velocity of rocket = V0 = 0 m/sacceleration = a = 52.5 m/s2time = t = 7.8 sec

Q: A ranger in a national park is driving at 22.0 mi/h when a deer jumps into the road 180 ft ahead of…

A: The initial velocity of a ranger is, u=22 mi/hr=9.835 m/s The final velocity of a ranger is, v=0 m/s…

Q: A car starts from rest and accelerates uniformly over a time of 5.21 seconds for a distance of 110…

A: Given data: Time taken by car, t1=5.21 s Distance travelled by car, s=110 m Acceleration of plane,…

Q: A woman is driving her car between two houses that are 60 m apart. So that she is driving the first…

A:

Q: A girl operates a radio-controlled model car in a vacant parking lot. The girl drives a car in a…

A:

Q: Suppose a plane accelerates from rest for 30 s, achieving a takeoff speed of 80 m/s after traveling…

A:

Q: A thief is trying to escape from a parking garage after completing a robbery, and the thief’s car is…

A:

Q: You attach a meter stick to an oak tree, such that the top of the meter stick is 1.67 meters above…

A: s = ut + 0.5 at^2 since the time taken to cover the 1m stick is 0.261 sec and the acorn falls under…

Q: A driver is traveling 18.0 m/s when she sees a red light ahead. Her car is capable of decelerating…

A: Given u=18m/s (initial velocity of car) t1=0.380 s (time for driver to hit the brakes) Distance…

Q: **41. ssm A locomotive is accelerating at 1.6 m/s2. It passes through a 20.0-m-wide crossing in a…

A:

Q: You are driving your car downtown from the beach, but you realize that you need to stop for food.…

A: Considering north direction to be upwards, west will be to the left of northSo, initially the person…

Q: Ben and Holly were playing with a flash drive in the computer room. Ben slid the flash drive on top…

A: Given information: The Initial velocity of the flash drive (u) =  2.5 m/s The height from which it…

Q: Your summer job is with an automobile accident avoidance research team. The system they are…

A:

Q: The next few questions challenge you to figure out the acceleration due to gravity ( g ) on various…

A: Solution:-                   Using 2nd equation of motion;…

Q: A single-engine air plain starts its engine at one end of the runway. It accelerates at a constant…

A: Given, velocity v=38 m/s time t=20 s

Q: The infamous chicken is dashing toward home plate with a speed of 5.7 m/s when he decides to hit the…

A: (a) The magnitude of acceleration is given by,

Q: You're driving down the highway late one night at 20m/s when a deer steps onto the road 35m in front…

A: Given data:  Initial velocity (Vi) = 20 m/s Brakes applied after time (t) = 0.5 s Acceleration (a) =…

Q: You want to figure out just how crazy a driver your friend is. As one of many stop lights begins to…

A:

Q: You are waiting at a traffic light on Manchester Expressway. At the instant the traffic light runs…

A:

Q: A boy jumps from rest, straight down from the top of a cliff. He falls halfway down to the water…

A: According to question we need to find that How much time passes during his entire trip from the top…

Q: Suppose a car is traveling at +24.3 m/s, and the driver sees a traffic light turn red. After 0.219 s…

A: Given: Speed of the car (v) = 24.3 m/s. reaction time (tr) = 0.219 s. Deceleration (a) = 4.0 m/s2.

Q: Review. You are sitting in your car at rest at a traffic light with a bicyclist at rest next to you…

A:

Q: An express train passes through a station that is 220 m long. It enters with an initial speed of…

A: Given Length of station d = 220 m Length of train L = 130 m Initial speed u = 22.5 m/s Acceleration…

Q: A Ferrari traveling well over the posted speed limit, passes a parked Tennessee State Trooper who…

A: The average speed of the Ferrari is

Q: car was traveling at 33.0 m/s on a poorly lit country road.  The driver started to brake 0.35…

A: The distance travelled by the car is, d=vt=33 m/s0.35 s=11.55 m The distance between the bridge and…

Q: The patient attends physiotherapy procedures at the clinic every day. Every morning he leaves the…

A: Let total distance from house to clinic is d km  Now, time taken to reach clinic  t = d/v = (d/25) h…

Q: You are driving home from school steadily at 95 km/h for 180km. It then begins to rain and you slow…

A: Average speed is the mean value of the speed of a body over a period of time.  Here, we calculate…

Q: A bus initially at a bus stop accelerates continuously for a kilometer, taking a minute and a half.…

A:

Q: Suppose a car is traveling at +21.4 m/s, and the driver sees a traffic light turn red. After 0.511 s…

A:

Relative Velocity

It is a measurement of an object with regards to the other object which is moving or stable or stationary. For example, if we are traveling in a bus and the bus is moving at speed of 50km/hr, then our speed is according to the nearby passenger on the bus is zero. According to them, we are not moving. But if one person standing on the ground or road observes us from outside of the bus, according to him we are moving at a speed of 50km/hr and the bus is also moving at a speed of 50km/hr. Now, the motion is recognized by the observer, it depends on a frame of reference or observer. This is motion called relative motion.