A particle moves on a straight line with the acceleration shown in the graph. Draw the v-t and x-t curves. Assume that the initial velocity is 3 ft/s and the initial displacement is zero. Determine the farthest distance the particle will travel from the origin and the total distance travelled at 4 s.

A particle moves on a straight line with the acceleration shown in the graph. Draw the v-t and x-t curves. Assume that the initial velocity is 3 ft/s and the initial displacement is zero. Determine the farthest distance the particle will travel from the origin and the total distance travelled at 4 s.

Name: The topic is all about Graphical Solution of Rectilinear Motion Proble
Uploaded: 2024-03-05T11:56:34.000Z
Channel: Bartleby
Description: The topic is all about Graphical Solution of Rectilinear Motion Problems. Please show the complete solution. Use pen and paper to solve. A particle moves on a straight line with the acceleration shown in the graph. Draw the v-t and x-tcurves. Assume

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 9OQ: As an object moves along the x axis, many measurements are made of its position, enough to generate...

See similar textbooks

Similar questions

A racing car starts from rest at t = 0 and reaches a final speed at time t. II the acceleration of the car is constant during this time, which of the following statements are true? (a) The car travels a distance t. (b) The average speed of the car is /2. (c) The magnitude of the acceleration of the car is /t. (d) The velocity of the car remains constant, (e) None of statements (a) through (d) is true.
As an object moves along the x axis, many measurements are made of its position, enough to generate a smooth, accurate graph of x versus t. Which of the following quantities for the object cannot be obtained from this graph alone? (a) the velocity at any instant (b) the acceleration at any instant (c) the displacement during some time interval (d) the average velocity during some time interval (e) the speed at any instant
A student holds a ball 1.55 meters above the ground and drops it. Her friend uses a stopwatch and measures a time of 0.57 seconds for the ball to hit the ground. The ball accelerates due to gravity. Using the equation y = 1/2??2 where y is the height, to compute g , calculate the acceleration of the ball.
An unidentified flying object (UFO) is observed to travel a total distance of 19000 m, starting and ending at rest, over a duration of 4.23 s. Assuming the UFO accelerated at a constant rate to the midpoint of its journey and then decelerated at a constant rate the rest of the way, what was the magnitude of its acceleration? Express your answer in g s , where 1 g = 9.81 m/s^2.
An antique rifle fires 9 mm bullets such that as they travel down the barrel of the rifle their speed is given by v = (−5.45 ✕ 107)t2 + (2.20 ✕ 105)t where v is in meters per second and t is in seconds. The acceleration of the bullet just as it leaves the barrel is zero. (a) Determine the acceleration (in m/s2) and position (in m) of the bullet as a function of time when the bullet is in the barrel. (Use the following as necessary: t. Round all numerical coefficients to at least three significant figures. Do not include units in your answers. Assume that the position of the bullet at t = 0 is zero.) a(t)= ? m/s2 x(t)=? m (b) Determine the length of time the bullet is accelerated (in s). = ? s (c) Find the speed at which the bullet leaves the barrel (in m/s). = ? m/s (d) What is the length of the barrel (in m)? = ? m
Cars A and B are traveling at vA=116 km/hr and vB=108 km/hr respectively when the driver of Car B applies the brakes abruptly causing the car to slide to a stop, see Figure Q1. Take the coefficient of friction for the road to be 0.8. Suppose the driver of Car A takes 1.5 seconds to react to the situation and applies his brakes causing Car A to slide as well. Given Car A has the same deceleration as Car B calculate the minimum distance, d between A and B at the time Car B starts sliding, to avoid a car crash.
The distance “s” meters from a fixed point of a vehicle traveling in a straight line with constant acceleration “a” is given by the formula s = ut + ½ at2 where “u” is the initial velocity in m/s, and “t”, the time in seconds. Given s = 42 m when t = 2 seconds and s = 144 m when t = 4 seconds. a. Determine the initial velocity. b. Determine the acceleration c. Determine the distance traveled after 3 seconds
A box was dropped from the top of a building. Which of the following is true regarding its displacement per second? (A) The distance covered by the falling box per second increases. (B) The distance covered by the falling box per second decreases. (C) The distance covered by the falling box per second remains constant. (D) I need more details to confirm any of these three statements.
As an astronaut visiting Planet X, you’re assigned to measure the free-fall acceleration. Getting out your meter stick and stop watch, you time the fall of a heavy ball from several heights. Your data are as follows: Height (m) fall time ( s) 0.0 0.00 1.0 0.54 2.0 0.72 3.0 0.91 4.0 1.01 5.0 1.17 Analyze these data to determine the free-fall acceleration on Planet X. Your analysis method should involve fitting a straight line to an appropriate graph.
2. (a) A car travels at a constant velocity 50 km h-1 for 100 km. It then speeds up to 100 km h-1for another 100 km. (i) Sketch the velocity against time graph.(ii) Calculate the car average speed for the 200 km trip in unit km h-1
The flight path of the helicopter as it takes off from A is defined by the parametric equations x = 3.5t2meters and y = 0.11t3meters where t is time in seconds. Determine the distance the helicopter is from the origin, and the magnitudes of its velocity and acceleration when t = 12s. Find the equation y = f(x) and determine the distance of the helicopter from the origin when x = 350m
A student holds a ball 1.55 meters above the ground and drops it. Her friend uses a stopwatch and measures a time of 0.57 seconds for the ball to hit the ground. Since the value for g obtained from the data is inaccurate, one of the measurements must have been incorrect. Assuming the time was exactly accurate, from what height was the ball actually dropped?