Review Conceptual Example 6 as background for this problem. A car is traveling to the left, which is the negative direction. The direction of travel remains the same throughout this problem. The car's initial speed is 30.5 m/s, and during a 8.01-second interval, it changes to a final speed of (a)41.9 m/s and (b)16.4 m/s. In each case, find the acceleration (magnitude and algebraic sign). (a) Number +1.42 (b) Number -1.76 Units Units m/s^2 m/s^2

Review Conceptual Example 6 as background for this problem. A car is traveling to the left, which is the negative direction. The direction of travel remains the same throughout this problem. The car's initial speed is 30.5 m/s, and during a 8.01-second interval, it changes to a final speed of (a)41.9 m/s and (b)16.4 m/s. In each case, find the acceleration (magnitude and algebraic sign). (a) Number +1.42 (b) Number -1.76 Units Units m/s^2 m/s^2

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 11P: A particle moves along the x axis according to the equation x = 2.00 + 3.00t 1.00t2, 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.
A blue car of length 4.52 m is moving north on a roadway (hat intersects another perpendicular roadway (Fig. P2.81, page 58). The width of the intersection from near edge to far edge is 28.0 m. The blue car has a constant acceleration of magnitude 2.10 m/s2 directed south. The time interval required for the nose of the blue car to move from the near (south) edge of the intersection to the north edge of the intersection is 3.10 s. (a) How far is the nose of the blue car from the south edge of the intersection when it stops? (b) For what time interval is any part of the blue car within the boundaries of the intersection? (c) A red car is at rest on the perpendicular intersecting roadway. As the nose of the blue car enters the intersection, the red car starts from rest and accelerates east at 5.60 m/s2. What is the minimum distance from the near (west) edge of the intersection at which the nose of the red car can begin its motion if it is to enter the intersection alter the blue car has entirely left the intersection? (d) II the red car begins its motion at the position given by the answer to pan (c), with what speed does it enter the intersection?
At an air show, a jet plane has velocity components vx= 695km/h and v y =415km/h at time 4.35 s and v x =938km/h and V y =365km/h at time 7.52s. A)For this time interval, find the xxx component of the plane's average acceleration. b)For this time interval, find the yyy component of the plane's average acceleration. C)For this time interval, find the magnitude of its average acceleration. D)For this time interval, find the direction of its average acceleration.
On a spacecraft two engines fire for a time of 567 s. One gives the craft an acceleration in the x direction of ax = 4.80 m/s2, while the other produces an acceleration in the y direction of ay = 7.52 m/s2. At the end of the firing period, the craft has velocity components of vx = 3751 m/s and vy = 4834 m/s. Calculate the magnitude of the initial velocity.
A cheetah is squatted 25m to the east of a vehicle. At time t = 0 the cheetah begins to run due east toward an antelope that is 55m to the east of the vehicle. During the first 2.0 s of the chase,the cheetah’s x-coordinate varies with time according to the equationx = 25m + (4.5m/s2)t2. (a) Find the cheetah’s displacement between t1= 1.5s and t2= 3.0 s. (b) Find its average velocity during that interval. (c) Find its instantaneous velocity at t= 2.5s by taking Δt = 0.15s.
Using SI base units, a particle’s position as a function of time is given by x(t)=(7t3+4t2+6) m. (a) At what time will the particle’s acceleration be zero? (b) Find the speed of the particle at that time.
The following equations give the position x(t) of a particle in four situations (in each equation, x is in meters, tis in seconds, and t> 0): (1) x = 3t - 4: (2) x = -5t3 + 4t2 + 6: (3) x = 2/t2 - 4/t; (4) x = 5t2 3. (a) In which situation is the acceleration a of the particle constant?
A body moving in the positive x-direction passes the origin at time t = 0. Between t = 0 and t = 1 second, the body has a constant speed of 14 (m/s). At t = 1 second, the body is given a constant acceleration of 5 (m/s2) in the negative x-direction. The position x of the body in meters at t = 9 seconds is
At t=0 an object starts from the origin and moves with a constant acceleration of a→=(−3.2i−2.7j)m/s2 on a horizontal surface. If the initial velocity of the object is vo→=(14.1i−18.3j)m/s, determine the magnitude of velocity at t=2.1s. Express your answer in units of m/sm/s using zero decimal places.
On a one lane road, a person driving a car at v1 = 58 mi/h suddenly notices a truck 1.1 mi in front of him. That truck is moving in the same direction at v2 = 35 mi/h. In order to avoid a collision, the person has to reduce the speed of his car to v2 during time interval Δt. The smallest magnitude of acceleration required for the car to avoid a collision is a. During this problem, assume the direction of motion of the car is the positive direction. 1. Use the expressions you entered in parts (c) and (f) and enter an expression for a in terms of d, v1, and v2. a = ( v2 - v1 )/Δt Δt = ( 2 ) ( d )/( v1 - v2 ) 2. Calculate the value of a in meters per second squared.
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.
At t = 0, one toy car is set rolling on a straight track with initial position 13.0 cm, initial velocity -2.8 cm/s, and constant acceleration 2.30 cm/s2. At the same moment, another toy car is set rolling on an adjacent track with initial position 9.5 cm, initial velocity 6.00 cm/s, and constant zero acceleration. At t = 0, one toy car is set rolling on a straight track with initial position 13.0 cm, initial velocity -2.8 cm/s, and constant acceleration 2.30 cm/s2. At the same moment, another toy car is set rolling on an adjacent track with initial position 9.5 cm, initial velocity 6.00 cm/s, and constant zero acceleration. (a) At what time, if any, do the two cars have equal speeds? (b) What are their speeds at that time?