A student is running at her top speed of 4.6 m/s to catch a bus, which is stopped at the bus stop. When the student is still a distance 38.9 m from the bus, it starts to pull away, moving with a constant acceleration of 0.177 m/s^2. A) For how much time does the student have to run at 4.6 m/s before she overtakes the bus? B) For what distance does the student have to run at 4.6 m/s before she overtakes the bus? C) When she reaches the bus, how fast is the bus traveling? D) What is the minimum speed the student must have to just catch up with the bus? E) For what time does she have to run in that case? F) For what distance does she have to run in that case?

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Q: A swan on a lake becomes airborne by flapping its wings and running on top of the water. If the swan…

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Q: While curling, you push a rock for 2.50 m and release it when it has a speed of 1.60 m/s. It…

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Q: We’ve seen that a man’s higher initial acceleration means that he can outrun a horse in very short…

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Q: A horse canters away from its trainer in a straight line, moving 44 mm away in 8.5 ss . It then…

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Q: A car starts from rest and reaches a velocity of  18.0 m/s in 12.0 seconds. The car then continues…

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Q: A straight road and a train line are parallel to each other. A racing car is stopped at a point on…

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Q: straight upward with a constant acceleration that has a magnitude of 82.5 m/s² for 1.55 seconds, at…

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Q: An object is initially at rest and accelerates at a rate of 3.50 m/s² in the positive x-direction.…

A: The time required by the object to move 50 m from the initial position is 5.34 s

Q: mits. His acceleration is a constant 4.0. At time t=0 he is 5.0 m east of the signpost, moving east…

A: Given thatConstant acceleration (a)=4.0 m/s2At t=0 , motorcyclist is 5 m eastwith velocity (u)=15…

Q: A model rocket blasts off from the ground, rising straight upward with a constant acceleration that…

A:

Q: x(t) = At2/(t+B)

A: Refer attachment

Q: U, (m/s) 12.0 8.00 4.00 t (s) 2.00 4.00 6.00 8.00 10.0 12.0 A gazelle is running in a straight line…

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Q: A car accelerates from rest at a rate of 5.00 m/s2 and travels a distance D. The car then reverses…

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Q: A sperm whale can accelerate at about 0.0800 m/s² when swimming on the surface of the ocean. How far…

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Q: You throw a stone straight down into a water well.  The stone starts from a height of 1 meter above…

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Q: Ima Rushin can travel from Milwaukee Avenue to the school entrance gate at a constant speed of 22.5…

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Q: An 18-year-old runner can complete a 10.0-km course with an average speed of 4.51 m/s. A 50-year-old…

A: Given value--- distance = 10 km speed of 18 year old runner = 4.51 m/s. speed of 50 year old runner…

Q: Driving down the road at a speed of 34.4 m/s, you suddenly notice a fallen tree blocking the road a…

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Q: A small propeller airplane can comfortably achieve a high enough speed to take off on a runway that…

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Q: A car moving in a straight line starts at x = 0 at t = 0. It passes the point x = 25.0 m with a…

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Q: An engineer is designing the runway for an airport. Of the planes that will use the airport, the…

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Q: Driving down the road at a speed of 39.1 m/s, you suddenly notice a fallen tree blocking the road a…

A: Calculate the distance covered by the vehicle before coming to the rest. d=93 m−5.9 md=87.1 m

Q: An Object is pushed on a flat surface with an initial velocity of 1.2 m/s and speeds up at a rate of…

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Q: Can you help me solve this problem please? A hot air ballon is rising into the air with a constant…

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Q: A certain freely falling object, released from rest, requires 1.95 s to travel the last 29.0 m…

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Q: A student begins at rest and then walks north at a speed of v1 = 0.55 m/s. The student then turns…

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Q: The initial velocity of a jet is 230 m/s eastward. The pilot ignites the afterburners, and the jet…

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Q: A rocket-powered sled moves along a track, eventually reaching a top speed of 230 m/s to the west.…

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Q: An electric vehicle starts from rest and accelerates at a rate of 3.0 m/s2 in a straight line until…

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Q: *37. mmh A car is traveling at a constant speed of 33 m/s on a high- way. At the instant this car…

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Q: A converging lens has a focal length of 36.7 cm. A real object is placed 22.4 cm in front of the…

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Q: A shopper uses the 55-meter long walkalator that goes at 1.5 m/s from the meat section to the…

A: Given that,Velocity of walkalator : vw = 1.5 (m/sec)Velocity of shopper : vs = 1.25…

Q: During a walk on the Moon, an astronaut accidentally drops his camera over a cliff. It leaves his…

A: Given: The initial speed of the camera is 0 m/s. The final speed of the camera after 2 s is 7.6 m/s.

Q: A truck on a straight road starts from rest, accelerating at 2.00 m/s^2 until it reaches a speed of…

A:

Q: A car starts from rest and travels for 10.0 s with a uniform acceleration of +2.0 m/s?. The driver…

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Q: A train, traveling at a constant speed of 22.0 m/s, comes to an incline with a constan slope. While…

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Q: A pebble is dropped from rest from the top of a cliff. It takes Δt = 3.7 s for it to reach the…

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

Q: John goes for a run. From his house, he jogs north for exactly 5.0 min at an average speed of 8.0…

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Q: You are 9.0 m from the door of your bus, behind the bus, when it pulls away with an acceleration of…

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Q: A truck on a straight road starts from rest, accelerating at 2 m/s2 until it reaches a speed of 20.0…

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Q: A car is traveling at a speed of 30 m/s, a typical highway speed, on wet pavement. The driver sees…

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Q: A model rocket blasts off from the ground, rising straight upward with a constant acceleration that…

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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

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 –