A sports car starts from rest at an intersection and accelerates toward the east on a straight road at 8.0 m/s2m/s2. Just as the sports car starts to move, a bus traveling east at a constant 16 m/sm/s on the same straight road passes the sports car. When the sports car catches up with and passes the bus, how much time has elapsed?

Q: A car travels in the +x-direction on a straight and level road. For the first 4.00 s of its motion,…

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Q: the amount of time the red light costs the driver (compared to if the car had not been the red…

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Q: Two ants pass each other one is moving along the negative x axis and one is moving at 45 degrees to…

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Q: A boy stands daydreaming as his friend runs by at the constant speed of 3.68 m/s. After 1.39 s, the…

A: Given: The constant speed of the boy's friend is 3.68 m/s. The initial speed of the boy is 0 m/s.…

Q: A Ford passes a Toyota on the road (both vehicles are traveling in the same direction). The Ford…

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Q: Car A is traveling at 11.6 m/s and car B is traveling with a constant speed of 25.0 m/s. Car A is…

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Q: Nerve impulses in a human body travel at a speed of about 100 m/s. Suppose a man accidentally stubs…

A: Given that: Speed of the nerve impulse in human body: v= 100 m/s Height of the man, d=1.70 m…

Q: A tourist being chased by an angry bear is running in a straight line toward his car at a speed of…

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Q: I am driving at 35 mph on a foggy day when I see a car 5 miles ahead of me stopped in the road with…

A: Given  Maxximum decelaration of car is 12 mph/s = 43200 mile/h² Distance of car initialy = 5 miles.…

Q: In the Daytona 500 auto race, a Ford Thunderbird and a Mercedes Benz are moving side by side down a…

A: Use the kinematic equation to solve for the acceleration of the Thunderbird to stop over a distance…

Q: A distracted driver in a residential neighborhood is travelling at 25 miles per hour. The driver…

A: Write the speed of car in ft/s. v=25 miles/hr=25 miles/hr1.46667=36.67 ft/s

Q: A jeepney and a train are moving together along parallel paths at 30.0 m/s, with the jeepney…

A: Solution:→Case 1     For the jeepney     Initial speed, u = 30 m/s     Acceleration, a = -2.5 m/s2…

Q: rabbit is moving in the positive x-direction at 1.50 m/s when it spots a predator and accelerates to…

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Q: A toy rocket has an engine that causes it to accelerate upwards at a rate of 3.50 m/s². It is…

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Q: A dog slips out of its collar while going for a walk and runs away at full speed.  By the time the…

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Q: A Ford passes a Toyota on the road (both vehicles are traveling in the same direction). The Ford…

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Q: If a given spore is accelerated from rest to 1.23 m/s in 7.45 us, what is the magnitude of the…

A: Given,             v=1.23 m/s and t=7.45 μs=7.45×10-6sAccelaration , a=vt=1.23 m/s 7.45…

Q: 3. It was a cold rainy evening when Maria decided to end her relationship with Pedro. Pedro, who was…

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Q: You drop an object from rest (initial velocity = 0) from a height of 6.8 metres. What is the final…

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Q: F12-7. A particle moves along a straight line such that its acceleration is a = (4 – 2) m/s², where…

A: Given: equation of acceleration, ( a = 4t2 - 2 ) m/s2 at t = 0, x = - 2 m  at t = 2 s, x = - 20 m

Q: In the Cars 2011 auto race, Lightning McQueen and Miguel Camino are moving side by side down a…

A: Given data: Initial velocity of the Lightning McQueen car is, u1=71.5 m/s Final  velocity of the…

Q: Sarah is driving on a freeway in a forest at 13.0m/s when suddenly a deer runs in front of her and…

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Q: Two trucks are heading towards each other on opposite sides of a two-lane road. Truck A is moving…

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Q: bus is travelling with a uniform velocity of 20 m/s. At the instant it passes a car at rest, the car…

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Q: in the Daytona 500 auto race, a Ford Thunderbird and a Mercedes Benz are moving side by side down a…

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Q: Starting from rest, a particle moving in a straight line has an acceleration of a = (2t - 6) m/s,…

A: Acceleration of particle a =(2t - 6)m/s2 a =dvdt dv =a.dt integrate both side V = ∫04(2t -6) dt V =…

Q: A car travels along a 1000 m path, starting from rest. For the first 300 m, it accelerates at 2.00…

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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…

A: Here Initial velocity of the air ballon  = u 4.75 m/sHeight from the ground when a bag is dropped =…

Q: Nerve impulses in a human body travel at a speed of about 100 m/s. Suppose a man accidentally stubs…

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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…

A: Given: Speed v1 = 0.55 m/s along north direction Speed v2 = 0.53 m/s along south direction Taking…

Q: A car traveling 30 m/s due east turns a smooth corner and heads northeast. The car maintained a…

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Q: A Ford passes a Toyota on the road (both vehicles are traveling in the same direction). The Ford…

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Q: Two cars drive on a straight highway. At time t=0, car 1 passes mile marker 0 traveling due east…

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Q: A Ford passes a Toyota on the road (both vehicles are traveling in the same direction). The Ford…

A: Answer Ford speed = 35.4 m/s Toyota speed = 12.2 m/s Distance = 114.8 m

Q: At time t0=0.0s, a car, starting from rest, moves south. It continues moving south, and by time tf…

A: Initial time: t0 = 0.0 s;Final time: tf = 121 s;Distance: d = 6689 m.North direction is along…

Q: How long did the ball take to return to the juggler’s hand?

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Q: Wags decides to go on another adventure. He begins by traveling east for 100m. He then moves 75 m in…

A: Given data,  Distance travelled towards East = 100m Distance travelled towards west =75 m With…

Q: An Aston Martin and a Bugatti are moving in the same direction along a perfectly straight part of…

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Q: In a game of tag two children start from rest 4.0 m apart.  The first child accelerates at 0.8 m/s2…

A: Given data:  Distance between two children (s) = 4.0 m Initial velocity of both childs are zero…

Q: Nerve impulses in the human body travel at a speed of about 100 m/s. A 2.0 m tall man accidentally…

A: Given: The velocity of nerve impulse (v) = 100 m/s. Height of man (h) = 2.0 m.

Q: A rabbit is hopping along at an approximately constant speed of 5.1 m/s. The rabbit passes a…

A: Given data:  Constant Speed of the rabbit (v) = 5.1 m/s Initial velocity of cat (u) = 0 m/s…

Q: traveling at a constant speed of 30.0m / s as it passes a stationary police car. If the police car…

A: Given:- The car traveling at a constant speed v = 30.0 m/s The police car takes time to start is  1…

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 –