train left the terminal at around 2PM. The train is traveling from north to south at a speed of 50 km per hour. AT that same time, another train also left another terminal. This train is traveling from East to West. Both trains have the same speed. The tracks of these trains are perpendicular to each other. If the north-south train is 100 km away from the intersection, and the east-west train has 50% more distance to travel than the other train before reaching the intersection, How fast in km per hour is the distance between the two trains changing at 6P.M.?

Q: A mountain biker encounters a jump on a race course that sends him into the air at 44.8 degrees to…

A: The objective of this question is to find the launch speed of the mountain biker. We can solve this…

Q: A car travels with an average velocity of 23 m/s for 82 s. Which of the following could NOT have…

A: Given Data: Average Velocity of car Vavg=23 ms Time T=82 s

Q: A plane is initially travelling due North when the pilot makes a turn to reach a final velocity due…

A: Acceleration is defined as the change in velocity with time .It is a vector quantity.

Q: You throw a basketball off the roof of a house that is 42m tall.  The basketball leaves your hands…

A:

Q: The Space Shuttle travels at a speed of about 8.85 x 103 m/s. The blink of an astronaut's eye lasts…

A:

Q: The Lost Drone. You and your team are exploring the edge of an Antarctic mountain range and you send…

A:

Q: 10) A ship sets sail from Rotterdam, The Netherlands, heading due north at 6.00 m/s relative to the…

A:

Q: An automobile moving with 95 km/hrs is passing a train that is 1.10 km long. The speed of the train…

A:

Q: 27 A piece of block is moved 6m towards east and 4m at West 30° North. What is the direction of…

A:

Q: Caleb is driving at a speed of 21.0 m/s when he sees a deer on the road ahead. He applies the brakes…

A: Given data: Initial velocity (v0) = 21.0 m/s Displacement (∆x) = 180 m Final velocity (v) = 0 m/s…

Q: At 3:00 P.M., a bank robber is spotted driving north on I-15 at milepost 102. His speed is 125.0…

A: Given that:Initial speed, u=125.0 mi/hFinal speed, v=102.9 mi/hTime interval, t=37 mins=3760 h

Q: A ship sets sail from Rotterdam, The Netherlands, heading due north at 9.00 m/s relative to the…

A: The given values in the problem are:Velocity of the ship relative to the water (Vsw) = 9.00 m/s, due…

Q: Nathan is piloting a boat due south down the Murray River at a speed of 7.0m/s. At the same time…

A: The diagram showing the motion of the boats is given below. Take the north direction to be pointing…

Q: The CN Tower, located in Toronto, Ontario, has a recorded height of 0.553 km. Refer to the…

A: Given data: Height of tower (h) = 0.553 km Initial velocity (u) = 0 m/s Time (t) = 3.00 s Required:…

Q: This is a practice problem that I'm pretty sure I got correct. I got that she rode 3388 meters on…

A: Given that:During first part of trip:Distance of first trip is given by:During second part…

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: A space object is launched into the atmosphere at a constant velocity of 30 mi/s. A resident stands…

A: Given data: The initial speed of object is u=30 mi/s. The distance of launching pad is x=60 mi. The…

Q: The Lost Drone. You and your team are exploring the edge of an Antarctic mountain range and you send…

A: Given that The angle turned after 5 minutes is β=35o east of south  The velocity vs time graph The…

Q: An airplane is heading north with an air speed of 500 mph. The jet stream is 70.71 mph in the…

A: To find the speed of the airplane relative to the ground, we need to calculate the resultant vector…

Q: A car drives horizontally off the edge of a cliff that is 68.1 m high. The police at the scene of…

A:

Q: A car travels 95 km to the north at 70.0 km/h, then turns around and travels 22 km at 80.0 km/h.…

A:

Q: Two straight roads intersect at right angles. At 10 am a car passes through the intersection headed…

A: If an object is moving with constant speed or velocity, the acceleration becomes zero. Acceleration…

Q: A student walks to the right, 25 meters along the hallway in15 seconds. The student turns around and…

A: Given data:  Displacement (d1) = 25 m, to the right Time (t1) = 15 s Displacement (d2) = 15 m, to…

Q: A ship sets sail from Rotterdam, The Netherlands, heading due north at 9.00 m/s relative to the…

A:

Q: 56. A car travelled from Town A to Town B. At the same time, a bus travelled from Town B to Town A…

A:

Q: The Lost Drone. You and your team are exploring the edge of an Antarctic mountain range and you send…

A:

Q: Near the end of a marathon race, the first two runners are separated by a distance of 45.0 m. The…

A: As per guideline we are suppose to answer one question from multiples questions. Given,  distance…

Q: The Space Shuttle travels at a speed of about 5.87 x 103 m/s. The blink of an astronaut's eye lasts…

A: Given data:  Speed of space shuttle (v) = 5.87×103 m/s Time (t) = 97.9 ms = 97.9×10-3 s Length of…

Q: The pilot of an aircraft flies due east relative to the ground in a wind blowing 13 km/h toward the…

A: The objective of this question is to find the speed of the aircraft relative to the ground when…

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: A car drives horizontally off the edge of a cliff that is 44.9 m high. The police at the scene of…

A: V= 32.441  m/s

Q: A child plays on an escalator by going up and down while the escalator is moving. When he runs…

A: Given The duration of upward motion tup=27 s The duration of downward motion tdown=79 s velocity of…

Q: You are driving home from school steadily at 99 km/h for 190 km . It then begins to rain and you…

A: The problem is based upon the concept of speed and distance. We know that distance is speed times…

Q: A baseball fan sitting in the "cheap seats" is d = 127 m from home plate (see the figure below). How…

A: distance of fan from the batter (d) = 127 m Speed of sound = 344 m/s Speed of light (v') = 300000000…

Q: the centripetal acceleration of an object is zero, what can you conclude about the motio O The…

A: The acceleration acting on body moving in uniform circular motion as taking a sharp turn in a…

Q: a boat leaves a dock at 2:00 p.m., heading west at 15 km/h. Another boat heads south at 12 km/h and…

A:

Q: A horse and a squirrel participate in a race over a 1.90 km long course. The horse travels at a…

A: a) Let the squirrel be x meters from the finish line when horse again resumes the race. At this…

Q: A person riding a bike has traveled 21.8 m up a hill inclined at 18.0°. At that point, the chain on…

A: Draw the free-body diagram of the person riding the bike.

Distance and Speed

The speed, distance and time relation forms the basis of study of motion. You will need these concepts in the study of Mechanics. This concept is applicable for students who are studying the following courses –