The velocity of a particle moving along the x-axis is given by: v (t) = 4 t - 3t?, where v is in cm/s & t in s. a) What are the dimensions associated with the 4? b) What are the units associated with the -3? c) Find an expression for the average acceleration (a= Av/At) in the time interval t to t+ 0.02 s. Simplify your final answer.

The velocity of a particle moving along the x-axis is given by: v (t) = 4 t - 3t?, where v is in cm/s & t in s. a) What are the dimensions associated with the 4? b) What are the units associated with the -3? c) Find an expression for the average acceleration (a= Av/At) in the time interval t to t+ 0.02 s. Simplify your final answer.

Name: The velocity of a particle moving along the x-axis is given by: v ( t
Uploaded: 2024-03-05T11:56:34.000Z
Channel: Bartleby
Description: The velocity of a particle moving along the x-axis is given by: v ( t) = 4t – 3t?, where v is in cm/s & t in s.| a) What are the dimensions associated with the 4?| b) What are the units associated with the -3?| c) Find an expression for the average

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter2: Kinematics

Section: Chapter Questions

Problem 3CQ: Bacteria move back and f01th by using their flagella (Structures that look like little tails)....

See similar textbooks

Similar questions

An object's velocity as a function of time in one dimension is given by the expression; v(t) = 3.8t + 6.68 where are constants have proper SI Units. At what time is the object's velocity 61.2 m/s?
A particle is moving along a line with position given by s(t)=t3−(9/2(t2 ))+6t−5 measured in meters, with t≥0 measured in minutes, and the positive direction meaning forward. a) Find the equation for the velocity at time t. Give units, and find times the times the particle is moving forward. b) Find the equation for the velocity at time t. Give units, and find times the times the particle is moving backwards. c) Find the total distance travelled by the particle. d) Find the equation of the acceleration at time t. Give the units, and find the times when the velocity of the particle is not changing. e) Find the displacement.
A toy car moves along a flat table, and a meter stick is used to mark its position at different times. If the car starts at a location of xi = 5.00 cm and moves to a location of xf = 15.0 cm then what is the displacement of the car in centimeters?
An object is travelling in 1-dimension (i.e. along the x- axis) with a velocity described by the equation: v(t)=v0+1/6st^3 , where s and v0 are constants. The object’s position, and acceleration at time t = 0 are given by d0, and a0 respectively. In terms of the variables given, what is the average acceleration of the object over the interval from 0 to 2 seconds.
In the answer, it gives a formula f-ff=m(0) and afterwards simplies into 120 - ff = 0 and further into ff=120N. My question is how do you not have to divide by 0 to finish the equation if that makes sense. To simply further why are we able to ignore the m(0) portion?
The position of a moving particle in vortex is expressed as, x(t) = x0 sin(at3 + bt3/2) where x0is the position at t = 0, x (t) is the position at time t, and a and b are the constants. Using dimensional analysis find the units of the constants a and b?
When the human body is at rest, the heart pumps 4.6 L of blood into the aorta every minute. During some exceptional exertion, such as playing sports, the amount of blood delivered to the aorta increases to 25 L every minute. If the area of the opening of the aorta is A = 0.81 cm2 What is the average velocity of blood as it enters the aorta in each of these cases?
Consider an object moving along a line with the given velocity v. Assume time t is measured in secondsand velocities have units of m/s.a. Determine when the motion is in the positive direction and when it is in the negative direction.b. Find the displacement over the given interval.c. Find the distance traveled over the given interval.v(t) = 50e-2t on [0, 4]
An object's position as a function of time in one dimension is given by the expression; 2.74t2 + 3.01t + 13.9 where are constants have proper SI Units. What is the object's average velocity between the times t = 4.06 s and t = 8.22 s?
The distance S that an object falls varies directly with the square of the time t. If an object falls 16 feet in one second, how long for it to fall 400 feet? The time required to drive a fixed distance varies inversely as the speed. It takes 1 hr at a speed of 400 km/h to drive a fixed distance. How long will it take to drive the same distance at a speed of 8 km/h?
Suppose we are told that the acceleration a of a particle moving with uniform speed ν in a circle of radius r is proportional to some power of r, say rn, and some power of ν, say νm. Determine the values of n and m and write the simplest form of an equation for the acceleration.
The following conversions occur frequently in physics and arevery useful. (a) Use 1 mi = 5280 ft and 1 h = 3600 s to convert 60 mphto units of ft/s. (b) The acceleration of a freely falling object is 32 ft/s2.Use 1 ft = 30.48 cm to express this acceleration in units of m/s2.(c) The density of water is 1.0 g/cm3. Convert this density to units ofkg/m3.