A Honda Civic travels in a straight line along a road. Its distance x from a stop sign is given as a function of time t by the equation x (t) = at^2 -bt^3, where a = 1.50 m/s^2 and b = 0.05 m/s^3. What is the instantaneous velocity of the car at t = 5 s?

A Honda Civic travels in a straight line along a road. Its distance x from a stop sign is given as a function of time t by the equation x (t) = at^2 -bt^3, where a = 1.50 m/s^2 and b = 0.05 m/s^3. What is the instantaneous velocity of the car at t = 5 s?

Name: A Honda Civic travels in a straight line along a road. Its distance x
Uploaded: 2024-03-05T11:56:34.000Z
Channel: Bartleby
Description: A Honda Civic travels in a straight line along a road. Its distance x from a stop sign is given as a function of time t by the equation x (t) = at^2 -bt^3, where a = 1.50 m/s^2 and b = 0.05 m/s^3. What is the instantaneous velocity of the car at t =

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 6P: The position of a particle moving along the x axis varies in time according to the expression x =...

See similar textbooks

Similar questions

An object is moving along the x-axis. At t = 0 it is at x = 0. Its x-component of velocity vx as a function of time is given by vx(t)=αt−βt3, where α=α= 7.6 m/s2 and β= 4.4 m/s4. At what nonzero time tt is the object again at xx = 0?
A jet plane comes in for a landing with a speed of 100m/s, and its acceleration can have a maximum magnitude of 5.00m/s2 as it comes to rest from the instant the plane touches the runway, what is the minimum time interval needed before it can come to rest?
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?
During the time interval 0 < t < 1, the velocity of an object as a function of time is v = 5 + 3t^2 + 2t^3. Knowing that the object follows a rectilinear trajectory, What is the correct expression for the acceleration?
The position of an object is given by x = at3 - bt2 + ct,where a = 4.1 m/s3, b = 2.2 m/s2, c = 1.7 m/s, and x and t are in SI units. What is the instantaneous acceleration of the object when t = 3.5 s?
A driver, driving at a constant speed of 30m/s in a 50 mph zone, is unaware that he is being observed by an approaching police car (coming toward him from the front). At time t = 0, they are 800m apart and the police car has an approach speed of 40 m/s. When will the police officer catch up with the motorist? a) 80 s b) 68.6 s c) 11.4 s
A Honda Civic travels in a straight line along a road. Its distance x from a stop sign is given as a function of time t by the equation x (t) = at^2 -bt^3, where a = 1.50 m/s^2 and b = 0.05 m/s^3. What is the instantaneous acceleration at t = 2 s? 1.4 m/s^2 2.4 m/s^2 3.5 m/s^2 4.2 m/s^2
A rail gun shoots a projectile in a straight line with acceleration aa and in time tt as defined by the equation a(t)=3−2t. If the projectile from the launcher reaches a velocity of 10 at t=1 and if s(t) is the distance of the projectile from the rail gun at time t, find s(5)−s(1)
In a marathon race Chad is out in front, running due north at a speed of 4.03 m/s. John is 97 m behind him, running due north at a speed of 4.70 m/s. How long does it take for John to pass Chad?
A particle is moving in a straight line with its position given by x=(8.5m/s^2)t^2 + 6.0m. Calculate. a) The instantaneous velocity at t1=3.00s and t2=5.00s. b) It's average acceleration during the interval from t1=3.00s to t2=5.00s. c) Its instantaneous acceleration as a function of time.
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
A bullet is fired straight up in the air at an initial speed of 245 m/s. After how much time is the bullet at a height of 10.1 X 10^2 m and heading down?