The position function for an object in the x direction is given to you as x(t) = A – Bt + 4Cct² – Cos(Dt) + et where t is the variable for time, and A, B, C, D and E are all constants. a. Write the function for the velocity of this object b. Write the function for the acceleration of this object c. Does this object's acceleration change with time or is it constant?

The position function for an object in the x direction is given to you as x(t) = A – Bt + 4Cct² – Cos(Dt) + et where t is the variable for time, and A, B, C, D and E are all constants. a. Write the function for the velocity of this object b. Write the function for the acceleration of this object c. Does this object's acceleration change with time or is it constant?

Name: The position function for an object in the x direction is given to yo
Uploaded: 2024-03-05T11:56:34.000Z
Channel: Bartleby
Description: The position function for an object in the x direction is given to you asx(t) = A – Bt + 4Cct² – Cos(Dt) + etwhere t is the variable for time, and A, B, C, D and E are all constants.a. Write the function for the velocity of this objectb. Write the f

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 79P: Between t=0 and t=t0 , a rocket moves straight upward with an acceleration given by a(t)=ABt1/2 ,...

See similar textbooks

Similar questions

Clay Matthews, a linebacker for the Green Bay Packers, can reach a speed of 10.0 m/s. At the start of a play, Matthews runs downfield at 45 with respect to the 50-yard line and covers 8.0 m in 1 s. He then fins straight down the field at 90 with respect to the 50-yard line for 12 m, with an elapsed time of 1.2 s. (a) What is Matthews’ final displacement from the start of the play? (b) What is his average velocity?
Between t=0 and t=t0 , a rocket moves straight upward with an acceleration given by a(t)=ABt1/2 , where A and B are constants. (a) If x is in meters and t is in seconds, what are the units of A and B ? (b) If the rocket starts from rest, how does the velocity vary between t=0 and t=t0 ? (c) If its initial position is zero, what is the rocket’s position as a function of time during this same time Interval?
An express train passes through a station. It enters with an initial velocity of 22.0 m/s and decelerates at a rate of 0.150m/s2 as it goes through. The station in 210.0 m long. (a) How fast is it going when the nose leaves the station? (b) How long is the nose of the train in the station? (c) If the train is 130 m long, what is the velocity of the end of the train as it leaves? (d) When does the end of the train leave the station?
The speed limit on some interstate highways is roughly 100 km/h. (a) What is this in meters per second? (b) How many miles per hour is this?
A cyclist rides 8.0 km east for 20 minutes, then he turns and heads west for 8 minutes and 3.2 km. Finally, he rides east for 16 km, which takes 40 minutes. (a) What is the final displacement of the cyclist? (b) What is his average velocity?
An electron is moving in a straight line with a velocity of 4.0105m/s . It enters a region 5.0 cm long where it undergoes an acceleration of 6.01012m/s2 along the same straight line. (a) What is the electron’s velocity when it emerges from this region? b) How long does the electron take to cross the region?
A truck is traveling east at 80 km/h. At an intersection 32 km ahead, a car is traveling north at 50 km/h. (a) How long after this moment will the vehicles be closest to each other? (b) How far apart will they be at that point?
The acceleration of a particle varies with time according to the equation a(t)=pt2qt3 . Initially, the velocity and position are zero. (a) What is the velocity as a function of time? (b) What is the position as a function of time?
Freight trains can product only relatively small accelerations. (a) What is the final velocity of a freight train that accelerates at a rate of 0.0500m/s2 for 8.00 min, starting with an intial velocity of 4.00 m/s? (b) If the train can slow down at a rate of 0.550m/s2 , how long will it take to come to a stop from this velocity? (c) How far will it travel in each case?
(a) If AF=BF , can we conclude A=B ? (b) If AF=BF , can we conclude A=B ? (c) If FA=BF , can we conclude A=B ? Why or why not?
A swan on a lake gets airborne by flapping its wings and running on top of the water. (a) If the swan must reach a velocity of 6.00 m/s to take off and it accelerates from rest at an average rate of 0.35m/s2 , how far will it travel before becoming airborne? (b) How long does this take?
An object is moving east with a constant velocity and is at position x0 at time t0=0 . (a) With what acceleration must the object have for its total displacement to be zero at a later time t ? (b) What is the physical interpretation of the solution in the case for t ?