Direction: Solve what is required in each of the following problems. Show a step by step process in finding the solution of the problem.  A bike accelerates uniformly from rest to a speed of 8.10 m/s over a distance of 37.4 m. Determine the acceleration of the bike. A feather is dropped on the moon from a height of 3.40 meters. The acceleration of gravity on the moon is 1.67 m/s2. Determine the time for the feather to fall to the surface of the moon. A car begins driving from a stationary position. It accelerates at 5 m/s2 for 15 seconds, then travels at a steady speed for another 10 seconds, all in the same direction. How much distance has it covered since it started driving?

Q: A The velocity of the car is proportional to its displacement. B The driver is stepping on the…

A: Given,  be the distance covered by the car at time t.So,  denote the velocity and acceleration at…

Q: A plane accelerates from rest at a constant rate of 5.00 m/s² along a runway that is 1800 x long.…

A: Acceleration is Length of runway is Initially the plane is at rest, that is, The plane gets its…

Q: These are “plug-in-the-number” type activities to familiarize yon with the equations that link the…

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Q: 1. A golfer hits a golf ball sitting at rest on a tee. The ball leaves the club at 64 m/s after a…

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

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Q: A racecar (at t= Os) is 0.5 km from his pit crew and approaching at a constant speed of 25 m/s. Due…

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Q: The greatest height reported for a jump into an airbag is 99.4 m by stuntman Dan Koko. In 1948 he…

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Q: What is the speed of the block when it is 3.60 m from the top of the incline?

A: Step 1:

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: 9. Draw the velocity vs time graph of the motion using the average value of final velocity you…

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Q: the question give the positions s = ƒ(t) of a body moving on a coordinateline, with s in meters and…

A: We are given the position function of body. This is position as function of time. We know that on…

Q: Captain John Stapp is often referred to as the "fastest man on Earth." In the late 1940s and early…

A: Using equation  if motion we can find the stopping distance  and stopping  time for the runner

Q: skydiver drops d1 = 475 meters in t1 = 9.5 s before opening his parachute. After the chute opens, he…

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Q: v (m/s) 50 45 40 35 30 25 20 15 10 5 0 2 4 6 8 10 12 14 1 (s)

A: In this question the velocity time graph is showing the velocity of a motorcycle police officer   In…

Q: 1. An airplane accelerates down a runway at 3.20 m/s? for 32.8 seconds until is finally lifts off…

A: The kinematics equation can be used to find the unknown distance, time, and velocity. The three…

Q: I am doing a lab report for my physics class. The lab consists of throwing a ball upward and…

A: Relevant theory: According to Newton's first law, an object in a state of rest or motion will…

Q: A ball is released from rest and begins to move on a friction-free ramp from a height of 12.0 m. The…

A: A ball is initially at rest.Initial height of ball is Final height of ball is Find:Velocity of ball…

Q: An bald eagle's motion is captured using a motion detector and displayed on the graph shown. Use the…

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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: Plot both the position vs. time and acceleration vs. time graphs with the velocity vs. time graph…

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Q: A bug crawls across a large window. The position of the bug is given by to following equation: x(t)…

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Q: Ironman steps from the top of a tall building. He falls freely from rest to the ground a distance of…

A: Concept: According to the hint given, Using the kinematic equation we will determine the velocity of…

Q: An unwary football player collides with a padded goalpost while running at a velocity of 6.24 m/s…

A: Given Initially velocity of the football player is v0=6.24 m/s Final velocity of the football player…

Q: Whipple is beginning to feel as if he understands the concept of constant acceleration motion. After…

A: The equation of motion is given as:At a distance y, the final velocity is given as:The acceleration…

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: 4. The following is an acceleration- time graph of a particle with a starting velocity and the…

A: Given At time t=10 s the velocity is v = 60 m/s. At time t=10 s the distance is d = 60 m/s. From…

Q: A woman attached to a bungee cord jumps from a bridge that is 26 m above a river. Her height in…

A: GivenA woman attached to a bungee cord jumps from a bridge that is 26 m above a river. Her height in…

Q: A speed skater moving across frictionless ice at 8.3 m/s hits a 5.9 m -wide patch of rough ice. She…

A: Given information: The initial speed of the skater is 8.3 m/s, the length of the rough ice is 5.9 m…

Q: a) Find the approximate average velocity for the person during the time interval from t = 1.5s to t…

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Q: After a big snowfall, you take your favorite rocket‑powered sled out to a wide field. The field is…

A: distance (d) = 221 m Acceleration (a) = 3.95 ms2Initial velocity (u) = 0 m/s

Q: Which statement is true? A As an object falls freely, its speed decreases. B As an object falls…

A: Answer = Option ( B )

Q: A student begins at rest and then walks north at a speed of v₁ = 0.85 m/s. The student then turns…

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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: give the positions s = ƒ(t) of a body moving on a coordinateline, with s in meters and t in…

A: The function of the position of a moving body is given as, The time interval is given as,

Q: A softball is popped up vertically from the ground with a velocity of 21.56 m/s. The acceleration…

A: Write the given values with suitable variables. u=21.56 m/sa=-9.8 m/s2 Here, u and a are the initial…

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

A: Given data The initial speed of the car is  u1 = 0 m/s The duration of the uniform acceleration is…

Q: A student is running at her top speed of 5.5 m/s to catch a bus, which is stopped at the bus stop.…

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

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Q: It's a lazy day. You and your dog, Shamus, are both resting. Shamus is right next to you (you can…

A: Given Data: The acceleration  is, a = 2.2 m/s2. The initial velocity is, u = 0 m/s. The first…

Q: A bike accelerates uniformly from rest to a speed of 12.12 m/s over a distance of 36 m. Determine…

A: Given Data Initial speed of the bike is vi=0 Final speed of the bike is vf=12.12 m/s Distance…

Q: A 0.26-kg rock is thrown vertically upward from the top of a cliff that is 32 m high. When it hits…

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Q: Elizabeth accelerates from rest and accelerates at 4m/sec2 until she is traveling at 20m/sec. She…

A: Introduction: Motion of the object in one-dimension, two-dimension can be easily described with the…

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 –