Shown below is a graph of velocity versus time for a moving object. The object starts at position x = 0 m at t = 0 s. What is the final position in meters, from t = 0 s to t = 2.0 s?

Q: Terence is thrown from a point above the ground. The height at ground level is given by the equation…

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Q: The displacement of a particle is given by s = 4t3-70t2 + 112t-34 where s is in feet and t is in…

A: Given: s=4t3-70t2+112t-34 ft

Q: A ball is tossed vertically from the top of a building that is 96 stories tall (approximately 864…

A: "As per the guidelines i solved the first three subpart". 1. Find the velocity equation in terms of…

Q: Shannon decides to check the accuracy of her speedometer. She adjusts her speed to read exactly 70…

A: We have to determine the speedometer is accuracy or not. Given that a mile has been traveled, the…

Q: At time t = 0 s, an object is observed at x = 0 m; and its position along the x axis follows this…

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Q: An object is moving in the air (defying gravity) so that its height after t seconds is given by…

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Q: A motorcyclist is traveling at 13.6 m/s and accelerating at 3.05 m/s? for 2.1 s, how far does it…

A: Given(s): Initial speed, u=13.6 m/s. Acceleration, a=3.05 m/s2. Time, t=2.1 s Require:  Distance…

Q: Fill in the blanks: A wildlife biologist is studying the hunting patterns of tigers. She…

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Q: The path of an angry bird being shot at a pig can be modeled by the equation h(t) = -4.9t2 + 14t +…

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Q: the motion of the particle is described by the equation x(t)=at^3-bt^2. where a is 3.36 in m/s^3 and…

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Q: 79. Between t = 0 and t = to, a rocket moves straight upward with an acceleration given by a(t) = A…

A: Given : The acceleration is given by Required : (a) Units of A and B(b) Velocity in the time…

Q: An object's position in the x-direction as a function of time is given by the expression; x(t)- 5t²…

A: Given data:  The position function of the object x = 5t2 + 2t Required: The average velocity between…

Q: The height of an object thrown upward with an initial velocity of 32 feet per second is given by the…

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Q: There are flies that are flying with a constant altitude of 5 km, that has a velocity of 42km/h. At…

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Q: In an experiment, a seabird was taken from its nest, flown 5150 km away, and released. The bird…

A: Given:Distance between origin and release point: xr=5150 kmTime taken by the bird: t=13.5 days To…

Q: A car begins at the position x = 6.0.m with an initial velocity of 24.8 m/s. If the acceleration of…

A: Given data: The initial position of the car is, xi = 6.0.m The initial velocity of the car is, vi =…

Q: Question 1: A snowboarder starts from rest at the top of a double black diamond hill. As she rides…

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Q: A hot air balloon is moving vertically upwards at a constant rate of 9.0 m/s. As the balloon rises,…

A: We have been given that the balloon is moving at 9.0 m/s in the positive z-direction. It drops a…

Q: When does the rocket hit the ground? did You must show all your work and explain why you EACH step…

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Q: As your friend skateboards down a hill, you measure their velocity at 1.0-second intervals. You…

A: Given data:  Initial velocity at t = 0.0 s u = 0.0 m/s Final velocity at t = 2.0 s v = 4.6 m/s…

Q: The flight path of the helicopter as it takes off from point O is defined by the parametric…

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Q: Part I. Using the table below, make an acceleration vs. time graph and find its slope in a graphing…

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Q: a car moves along a path. expressed as: S = 4+² -3+² +8 2 Where s is in meters while t in seconds.…

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Q: A motor car is moving with initial velocity in the x-direction at 30 m/s.  After 30 s, the car…

A: Write the given values with the suitable variables. v1=30 m/st1=30 sv2=10 m/st2=12 st3=10 s Here,…

Q: The motion of a particle is governed by a relation a = 2t squared, where acceleration (a) is in ft…

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Q: In this graph of displacement versus time, what is the average velocity in going from point B to…

A: Average velocity = (final position - initial position)/time taken  Final position (point J) =1m…

Q: The displacement (in centimeters) of a particle s moving back and forth along a straight line is…

A: From the question, it is given that- s(t)=5sin(πt)+2cos(πt) t2=1.1 s, and t1=1 s

Q: The displacement of a particle is given by s= 5t³ - 59t² + 87t-68 where s is in feet and t is in…

A: First we find expression  for velocity  and acceleration then after putting value of t as required…

Q: A person going for a walk follows the path shown in figure. below The total trip consists of four…

A: There are four displacement vectors. S1 = 100 i m S2 = - 270 j m S3 = -150 cos30 i - 150 sin30 j m…

Q: Alice is riding a bike at 12 mph, but decides to sprint.  She takes 0.7 s to accelerate to 19 mph.…

A: Acceleration defined as a rate of change of velocity. Acceleration is a vector quantity, because it…

Q: Shannon decides to check the accuracy of her speedometer. She adjusts her speed to read exactly 70…

A: It is given that the speed on the speedometer of Shannon is 70mph. It is also given that Shannon…

Q: Answers should be in 3 decimal places.    The equation of motion of a particle is s = 8t2 + 3t –…

A: Solution:-Given thats=8t2+3t-10where s is in meterst is in seconds

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: The velocity of a car is given by the following graph/function: v(t) v(t) = 1.5+0.8t – 0.01t³ Where…

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Q: Ken Runfast is the star of the cross-country team. During a recent morning run, Ken averaged a speed…

A: Given information:Initial average speed (u1) = 5.5 m/sTime for which he maintained this speed (t1) =…

Q: 1. The following table represent the data collected in a motion lab. Plot the data to produce a…

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Q: Cheetahs can accelerate to a speed of 20.2 m/s in 2.65 s and can continue to accelerate to reach…

A: The initial speed of the cheetah is zero. The speed the cheetah reaches in 2.65 s is 20.2 m/s. The…

Q: Your new Telsa Model 3 specs say that it can do 0-60 mph in 3.2 seconds. Can you get the…

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Q: An athlete wants to run a 1500m race with an average velocity of 6.00 m/s. After running the first…

A: The speed of the athlete in the first 500 m is,

Q: For the following data. Time (s) Distance (m) 1 22 2 43 3 64 4 87 5 101 6 129   Plot…

A: Velocity is defined as the amount of distance an object travels in a given amount of time. The…

Q: 1 4. The plot below shows the velocity of a hockey puck as a function of time. The puck starts at…

A: We are given velocity versus time graph. We draw position vs time and acceleration vs time graph by…

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 –