What is the final speed of a bicyclist initially moving at 1.0 m/s who accelerates at a rate of 1.5 m/s² for 3.0 seconds?

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

A: Given data:  Initial velocity (V0) = 0 m/s Final velocity (V) = 6.50 m/s Acceleration (a) = 0.350…

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

A: Let a1 denote the acceleration of the man, t1 denote the acceleration time, v1 denote the final…

Q: The LRT passes through a station with an initial velocity of 23 m/s and decelerates at a rate of…

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Q: A ball is thrown straight down with an initial speed of 2.3 m/s from a height of 5.0 m. What is the…

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Q: 70. A fugitive tries to hop on a freight train traveling at a constant speed of 5.0 m/s. Just as an…

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Q: 21. A 50.0-g Super Ball travel- ing at 25.0 m/s bounces off a brick wall and rebounds -3- Figure…

A: Given mass of super ball = m = 50.0 g = 0.050 kg initial velocity of super ball = u = 25.0 m/s…

Q: You are driving through town at 10.0 m/sm/s when suddenly a ball rolls out in front of you. You…

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Q: The problem states, "A truck on a straight road starts from rest, accelerating at 2.00 m/s2 until it…

A: Given data:  Initial velocity (V0) = 0 m/s Acceleration (a1) = 2.00 m/s2 Velocity (V1) = 20.0 m/s…

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: Speedy Sue, driving at 35.0 m/s, enters a one-lane tunnel. She then observes a slow-moving van 160 m…

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Q: A car is traveling along a straight road at a velocity of +33.8 m/s when its engine cuts out. For…

A: We are given initial velocity of car. We are given the final velocity. We are given 2 time intervals…

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

A: Data we have velocity, v=6.96m/s acceleration, a=0.4m/s2 To find the distance, d=?

Q: The brakes are applied to a moving car, causing it to uniformly slow down. While slowing, it moves a…

A: Distance travelled (S) = 40.0 mFinal velocity (v) = 2.05 m/s Time (t) = 7.00 s

Q: A shuffleboard disk is accelerated at a constant rate from rest to a speed of 4.4 m/s over a 1.9 m…

A: Total time taken? Total distance travelled?

Q: A race car starts from rest and travels east along a straight and level track. The eastward…

A: Given data -                           initial velocity of race car = 0 m/s (along east)…

Q: Traumatic brain injury such as concussion results when the head undergoes a very large acceleration.…

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Q: A speedboat starts from rest and accelerates at +2.34 m/s2 for 7.87 s. At the end of this time, the…

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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: For 10 seconds, a racer accelerates at a=5t+2t m/s2 after starting at rest. After that, the brakes…

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Q: A car starts from rest and accelerates at a rate of 4.53 m/s2 for 5.12 seconds. The driver spots a…

A: A car starts from rest and accelerates at a rate of 4.53 m/s2 for 5.12 seconds.Reaction time of…

Q: A car accelerates from rest at 2.5 m/s2, travels with a constant velocity of 90 km/h and then…

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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.…

A: The average acceleration is given as a=(v-u)/t where v is the final velocity and u is the initial…

Q: While entering a freeway, a car accelerates from rest at a rate of 2.81 m/s² of the situation and…

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Q: At the end of a race a runner decelerates from a velocity of 9.20 m/s at a rate of 1.90 m/s2. (a)…

A: Step 1: Part (a): Distance traveled The initial velocity (v0​​) is 9.20 m/s, and the deceleration…

Q: An object moves with constant acceleration 3.75 m/s and over a time interval reaches a final…

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Q: The driver of a car slams on the brakes when he sees a tree blocking che road. The car slows…

A: Speed is the distance traveled per unit of time. Here, we calculate the given as follow;

Q: the ball during 40 (d) Question 6. Suppose a car is traveling at +22.5 m/s, and the driver sees a…

A: Given:Initial velocity Acceleration Reaction time Required:The stopping distance measured from the…

Q: A car is traveling along a straight road at a velocity of +25.8 m/s when its engine cuts out. For…

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Q: Speedy Sue, driving at 32.0 m/s, enters a one-lane tunnel. She then observes a slow-moving van 165 m…

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Q: An airplane covers a straight-line distance of 8.59 km in 30 .1 s, during which time it has a…

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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…

A: Given values: When starts from rest, Initial speed, u1=0 m/s Final speed, v1=20 m/s Acceleration,…

Q: At t=0, a particle starts with an initial velocity of 10 i m/s and accelerates uniformly at (-2.0 i…

A: Given initial speed (u)=10 m/s Acceleration (a)=(-2.0 i +4.0 j) m/s2 Required speed at t=5 s

Q: A bus is traveling a constant 11.0 m/s.  It passes a sports car at rest which immediately begins to…

A: Initial speed, u = 0 Final speed, v = 11 m/s Acceleration, a = 4 m/s² Time taken, t =?

Q: Ian has a reaction time of 0.50 seconds, and the maximum braking capacity of his car allows him to…

A: Let us consider Ian has a reaction time , t=0.50 sec He is driving with a speed of  (v)=20 m/sec…

Q: Bob is cruising leisurely on his bike at 2.4 m/s when Jim passes him, traveling at a constant 10.2…

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Q: A particle has a displacement given by the equation x(t) = 3.0 + 2.0t, where x is in meters and t is…

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Q: A drag racer, starting from rest, speeds up for 350 m with an acceleration of +16.0 m/s2 before…

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Q: a) The velocity of a particle changes from v1 = 2i + 5j -3k m/s to V2 = 5i- 7j+ 2k m/s in 2 s. What…

A: a. the average acceleration is

Q: To take off from the ground, an airplane must reach a sufficiently high speed. The velocity required…

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Q: A woman backs her van out of her parking space with a constant acceleration of 1.8 m/s2. Assume that…

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Q: An automobile accelerates from rest at 1.86 m/s2 for 20.5 s. The speed is then held constant for…

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Q: A certain car is capable of accelerating at a rate of +0.50 m/s2. How long does it take for this car…

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Q: A car is moving at a velocity of 20 m/s. The car then accelerates uniformly at 1.8 m/s2. The car…

A: Given information:Initial velocity of the car (u) = 20 m/s.Final velocity of the car (v) = 25…

Q: A commuter backs her car out of her garage with a constant acceleration of 1.9 m/s2. Assume that her…

A: final velocity of the car vf = 2.35 m/s A commuter backs her car out of her garage with a constant…

Displacement, Velocity and Acceleration

In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.

Linear Displacement

The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.