The velocity of an object as a function of time is given by V(t) = 3at2 - 2bt + C where a = 3.6m/s3 , b = 4.0m/s2 , c = 60 m/s The initial position of the object at t = 0.00 is 7.00 m. (a) Find the position of the object as a function of time. (b) Find the acceleration of the object as a function of time. c) Find the position, velocity and acceleration of the object at t = 2.0 s.

The velocity of an object as a function of time is given by V(t) = 3at2 - 2bt + C where a = 3.6m/s3 , b = 4.0m/s2 , c = 60 m/s The initial position of the object at t = 0.00 is 7.00 m. (a) Find the position of the object as a function of time. (b) Find the acceleration of the object as a function of time. c) Find the position, velocity and acceleration of the object at t = 2.0 s.

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter3: Motion Along A Straight Line

Section: Chapter Questions

Problem 113CP: The position of a particle moving along the x -axis varies with time according to x(t)=5.0t24.0t3 ....

See similar textbooks

Similar questions

The initial velocity (in m/s) of a particle is given by v0 = 3i - 4j. It experiences an acceleration of a = 2i + 5k. Find the position and velocity of the particle at time = 5.0 s
If a ball is thrown straight up into the air with an initial velocity of 70 ft/s, it height in feet after ? second is given by y=70t−16t^2. Find the average velocity for the time period begining when t=2 and lasting 0.1 seconds = 0.01 seconds= 0.001 seconds= Finally based on the above results, guess what the instantaneous velocity of the ball is when ?=2.
An object's position is described by the following polynomial for 10 s=t^3 - 12t^2 + 24t where s is in meters and t is in seconds. Determine the following: a. the object's velocity as a function of time b. the object's acceleration as a function of time c. the time when the object was at the origin (s=0m) d. the object's average velocity
A baseball is pitched, reaching the batter with a speed of 37 m/s, and is hit such that it returns on the same line at 48 m/s. If the ball was in contact with the bat for .22 seconds, what was the magnitude of the average acceleration experienced by the ball during the time of contact?
A typical jetliner lands at a speed of 160 mi/h and decelerates at the rate of (10.0 mi/h)/s. If the plane travels at a constant speed of 160 mi/h for 1.00 s after landing before applying the brakes, what is the total displacement of the aircraft between touchdown on the runway and coming to rest?
The height of an object thrown upward from the roof of a building 408 ft. tall, with a initial velocity of 96 ft/ sec, is given by the equation h= -16t2+96t+408, where h represents the height of the object after t seconds. How long will it take the object to hit the ground?. Answer in exact form and decimal form rounded to the nearest hundredth.
In a baseball game the initial speed of a ball was measured to be 43 m/s. The batter hits and send the ball in the opposite direction with a speed of 51 m/s. Assuming the flight trajectories are horizontal and linear; and the bat-ball contact time is 1.0 ms, find the average acceleration of the ball.
The position of an object as it moves along the x axis is given by x= 10e ^-5t m where t is in s. What is the velocity and acceleration of the particle at t=1.0s
An object is initially moving in the x-direction at 3.7 m/s when it undergoes acceleration in the y-direction for a period of 20 s. If the object moves equal distances in the x- and y-directions during this time, what’s the magnitude of its acceleration?
If the velocity of a particle is given by v = 10 t−5t³ , where v is in m/s and t is in seconds, find the acceleration and position of the particle at any given time.
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 objectwhen t = 0.7 s?
Is it possible for speed to be constant while acceleration is not zero?