(a) You travel from position 129 mi Ñ to a position 59 Ñ mi Ê + 67 Ñ in 137 minutes. What is your average velocity in mathematical form? Ê+ N (b) You watch an ant move across a table, from corner to corner, displacing itself 4' x + 2' ŷ with a speed 220 ft/s. What is the ant's average velocity in mathematical form? V = x + ŷ (c) An airplane moves at a cruising speed of 908 km/h on a trip that takes 130 minutes. The airplane moves along a straight line path in the direction given by the unit vector 0.29 Ê + 0.95 Ñ. What is the airplane's displacement in mathematical form? Ê + N (d) A boat travels with a velocity of 3.2 m/s x - 1.2 m/s ŷ and ends up a distance 320 m from its original position. What is the displacement of the boat? d=

(a) You travel from position 129 mi Ñ to a position 59 Ñ mi Ê + 67 Ñ in 137 minutes. What is your average velocity in mathematical form? Ê+ N (b) You watch an ant move across a table, from corner to corner, displacing itself 4' x + 2' ŷ with a speed 220 ft/s. What is the ant's average velocity in mathematical form? V = x + ŷ (c) An airplane moves at a cruising speed of 908 km/h on a trip that takes 130 minutes. The airplane moves along a straight line path in the direction given by the unit vector 0.29 Ê + 0.95 Ñ. What is the airplane's displacement in mathematical form? Ê + N (d) A boat travels with a velocity of 3.2 m/s x - 1.2 m/s ŷ and ends up a distance 320 m from its original position. What is the displacement of the boat? d=

Name: (a) You travel from a position 129 mi Ñ to a position 59 Ñ mi Ê + 67
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Description: (a) You travel from a position 129 mi Ñ to a position 59 Ñ mi Ê + 67 Ñ in 137 minutes.What is your average velocity in mathematical form?Ë+N=(b) You watch an ant move across a table, from corner to corner, displacing itself 4' x + 2' ŷ with a speed

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 10P: An object moves along the x axis according to the equation x = 3.00t2 2.00t + 3.00, where x is in...

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A particle moves along the x axis according to the equation x = 2.00 + 3.00t 1.00t2, where x is in meters and t is in seconds. At t = 3.00 s, find (a) the position of the particle, (b) its velocity, and (c) its acceleration.
The position of a particle moving along the x axis varies in time according to the expression x = 3t2, where x is in meters and t is in seconds. Evaluate its position (a) at t = 3.00 s and (b) at 3.00 s + t. (c) Evaluate the limit of x/t as t approaches zero to find the velocity at t = 3.00 s.
A truck is moving at a speed of 50 km/h, how far does it travel in 0.5 h in meters? A)2.50E3m/s B)2.00 E3nm/s C)1.00E3m/s D)4.50E3m/s
A particle’s velocity along the x-axis is described byv(t) = A t + B t2,where t is in seconds, v is in meters per second, A = 1.06 m/s2, and B = -0.51 m/s3. What is the distance traveled, in meters, by the particle between times t0 = 1.0 s and t1 = 3.0 s?
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.
A car moves on a straight road such that its position from a reference point is given by the following function:{ x(t) = 3 + 5t + 2t2 + 0.4t3, y(t) = 0, z(t) = 0 }where t is in seconds and x in meters. Find the average velocity, in meters per second, in the x-direction between t1 = 0.25 s and t2 = 1.85 s. Find the average acceleration, in meters per second squared, in the x-direction between t1 = 0.25 s and t2 = 1.85 s.
The position x of an experimental rocket moving along a long rail is measured to be x(t) = (4m/s)t + (7m/s2)t^2 + (5m/s3)t^3 – (0.35m/s4)t^4 over the first 10s of its motion, where t is in seconds and x is in meters. Find the velocity of the rocket for the first 10 seconds. a. 43 m/s b. 224 m/s c. 244m/s d. 2240 m/s
An unidentified flying object (UFO) is observed to travel a total distance of 29000 m, starting and ending at rest, over a duration of 4.77 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. 520 g s 260 g s 5,098 g s 2,549 g s
A projectile is fired in the air from a height of 125 feet. Its velocity (in feet per second) t seconds after launch is f(t), given in the following table. x 0 5 10 15 20 25 30 f(x) 234 215 196 169 150 120 109 a) How fast is the projectile traveling 15 seconds after launch? feet per second. b) How far does the projectile move between 5 seconds and 25 seconds?Estimate feet. c) How far does the projectile move between 0 seconds and 15 seconds?Estimate feet.
The average speed of a vehicle on a stretch of Route 134 between 6 A.M. and 10 A.M. on a typical weekday is approximated by the function f(t) = 30t − 60√t + 70 (0 ≤ t ≤ 4) where f (t) is measured in miles per hour, and t is measured in hours, with t = 0 corresponding to 6 A.M. At what time of the morning commute is the traffic moving at the slowest rate? _ A.M. What is the average speed of a vehicle at that time? _ mph
A suspicious-looking man runs as fast as he can along a moving sidewalk from one end to the other, taking 2.50 s.Then security agents appear, and the man runs as fast as he can back along the sidewalk to his starting point, taking 10.0 s.What is the ratio of the man’s running speed to the sidewalk’s speed?
A student walks to the right, 25 meters along the hallway in15 seconds. The student turns around and walks 15 meters to the left in 8.0 seconds. What is the average speed and the average velocity? (V represents average speed and ?V represents average velocity) V=1.7 m/s; ?V = 1.7 m/s V=1.7 m/s; ?V = .43 m/s V=.43 m/s; ?V = .43 m/s V=.58 m/s; ?V = 1.7 m/s