A graph of position versus time for a certain particle moving along the x axis is shown in Figure P2.6. Find the average velocity in the following time intervals. (The horizontal axis is marked in increments of 2 s and the vertical axis is marked in increments of 50 m.) x(m) (s)- Figure P2.6 (a) o to 4.00 s 12.5 Your response differs from the correct answer by more than 10%. Double check your calculations, m/s (b) 0 to 8.00 s 0.9 Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully, m/s (c) 4.00 to 8.00 s m/s

A graph of position versus time for a certain particle moving along the x axis is shown in Figure P2.6. Find the average velocity in the following time intervals. (The horizontal axis is marked in increments of 2 s and the vertical axis is marked in increments of 50 m.) x(m) (s)- Figure P2.6 (a) o to 4.00 s 12.5 Your response differs from the correct answer by more than 10%. Double check your calculations, m/s (b) 0 to 8.00 s 0.9 Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully, m/s (c) 4.00 to 8.00 s m/s

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter2: Motion In One Dimension

Section: Chapter Questions

Problem 15P: Figure P2.15 shows a graph of vx versus t for the motion of a motorcyclist as he starts from rest...

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Figure P2.15 shows a graph of vx versus t for the motion of a motorcyclist as he starts from rest and moves along the road in a straight line. (a) Find the average acceleration for the time interval t = 0 to t = 6.00 s. (b) Estimate the time at which the acceleration has its greatest positive value and the value of the acceleration at that instant. (c) When is the acceleration zero? (d) Estimate the maximum negative value of the acceleration and the time at which it occurs. Figure P2.15
A graph of position versustime for a certain particlemoving along the x - axis isshown in Figure P2.6. Findthe average velocity in thetime intervals from (a) 0 to 2.00 s, (b) 0 to 4.00 s, (c) 2.00s to 4.00 s, (d) 4.00 s to 7.00 s,and (e) 0 to 8.00 s.
The position of an object is given as a function of time by :x = 15 + 4t - 2t^3, where x is in kilometres and t is in hours. According tothis equation,a) what is the object’s starting point?b) what is the average acceleration during the interval from t = 1.0 hto t = 2.0 h?c) what is the acceleration at t=2.0 h?
An object moving with uniform acceleration has a velocity of 11.0 cm/s in the positive x-direction when its x-coordinate is 3.06 cm. If its x-coordinate 2.15 s later is −5.00 cm, what is its acceleration? _____cm/s2 A ball is thrown directly downward with an initial speed of 7.45 m/s, from a height of 30.3 m. After what time interval does it strike the ground? _______s A small mailbag is released from a helicopter that is descending steadily at 2.78 m/s. (a) After 3.00 s, what is the speed of the mailbag? v = ______m/s (b) How far is it below the helicopter? d = ______m (c) What are your answers to parts (a) and (b) if the helicopter is rising steadily at 2.78 m/s? v=______m/s d=______m A model rocket is launched straight upward with an initial speed of 44.0 m/s. It accelerates with a constant upward acceleration of 1.00 m/s2 until its engines stop at an altitude of 200 m. (a) What can you say about the motion of the rocket after its engines stop? (b) What is the maximum height…
The position of an object as a function of time is given by x = bt2 - ct, where b = 2.0 m/s2 and c = 6.7 m/s, and x and t are in SI units. What is the instantaneous velocity of the object when t = 2.3?
Referring to the figure, a truck drives a distance d=30.1m in the positive x direction in a time t1=17.2s, at which point the truck brakes, coming to rest in t2=8.13s. Part A: What is the truck's average velocity in the horizontal direction, in meters per second, during the t1 time period? Part B: Assuming the truck started from rest and moved with a constant acceleration, what was the acceleration, in meters per suqared second, during the time interval t1? Part C: What was the truck's instananeous velocity in the horizontal direction, in meters per second, when it began braking? And using the result from the previous answer, what was the truck's horizontal component of acceleration, in meters per squared second, during the braking period? Please explain how you got your answer in detail.
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The accompanying graph shows the time record of the velocity of Max, the dog, as he runs along the fence line, barking at the neighbor's cat. Using quantitative graphical analysis, find Max's displacement from his initial position at the following clock readings: (a) 4 s (b) 6 s (c) 8 s (a): 6 m; (b): 12 m; (c): 18 m (a): 24 m; (b): 36 m; (c): 24 m (a): 24 m; (b): 36 m; (c): 60 m (a): 6 m; (b): 12 m; (c): 6 m (a): 12 m; (b): 18 m; (c): 12 m
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An object is thrown upward at time t=0. After t seconds, its height is y=−4.9t 2 +2t+4.5 meters above the ground. (a) From what height was the object thrown? meters (b) What is the initial velocity of the object? m/s (c) What is the acceleration due to gravity? m/s
A simple model for a person running the 100 m dash is to assume the sprinter runs with constant acceleration until reaching top speed, then maintains that speed through the finish line. If a sprinter reaches his top speed of 11.2 m/s in 2.14 s, what will be his total time?