Question

Consider the motion of a object able to move along a line under constant acceleration a....

Consider the motion of a object able to move along a line under constant acceleration a. At time t = 0, its initial position and velocity are x0 and v0 respectively. Show that at a later time t, v = v0 + at, x = x0 + v0t + 12at2. Eliminate the time between these two relations to show that a(x − x0) = 12(v2 − v20). Use this to find the minimum stopping distance for a car travelling at 100kmh-1 if its maximum deceleration is 10 ms-2

Science   Physics   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
An object is undergoing simple harmonic motion along the x-axis. its position is described as a...
An object is undergoing simple harmonic motion along the x-axis. its position is described as a function of time by x(t)= 5.3cos(4.2t-1.9), where x is in meters, the time t, is in seconds, and the argument of the cosine is in radians. c) determine the position of the object, in meters, at the time t=2.6s? d) what the objects velocity, in meters per second, at the time t=2.6s? e) calculate the objects acceleration, in meters per second squared, at time...
The motion of an object along a horizontal hallway is given by ?(m) = 10m +...
The motion of an object along a horizontal hallway is given by ?(m) = 10m + 4 ? ? ∙ t − 2 ? ? 2 ∙ ? 2 . Determine a. The initial position of the object; b. The initial velocity of the object; c. The acceleration of the object? d. The average velocity of the object from 4 to 10 s. e. The velocity of the object after 10s
Problem 2 (5 pts) Recall that the equation for projectile motion when acceleration is constant can...
Problem 2 (5 pts) Recall that the equation for projectile motion when acceleration is constant can be written as y = y0 + v0t +(a/2)t^2 (2) Create a spreadsheet to plot y(t). You should be able to easily change the initial velocity, the initial position, and the acceleration. Be sure to include axis labels as appropriate. The spreadsheet should be easy to use by anyone. Problem 3 (5 pts) Repeat problem 2 using Matlab. Specifically, create a Matlab function called...
At the fifth second, the velocity of an object moving along a horizontal line is -3m/s...
At the fifth second, the velocity of an object moving along a horizontal line is -3m/s . The object’s acceleration function is given by at=-t2+4. Find the velocity of the object at the 10th second of motion. Find the time when the acceleration is zero. Starting from 3m, W an object moved according to vt=2t-3 .                Find the position of the object at the 20th second of motion.
Given the following acceleration functions of an object moving along a line, find the position function...
Given the following acceleration functions of an object moving along a line, find the position function with the given initial velocity and position. a(t)=-32; v(0)=24, s(0)=0
A ball moves along a 1D coordinate system with the following motion parameters at time t...
A ball moves along a 1D coordinate system with the following motion parameters at time t = 0 s: x0 = 7.7 m and v0 = 0 m/s. The ball has a constant acceleration of 1.2 m/s2 during the entire motion which occurs over a time of 3 s. Assume that an error in position of 9 % is acceptable in this application over the entire motion. How many rows N will be needed in the table to model the...
A small object moves along the x-axis with acceleration ar = -a(1-t/to). At t = 0...
A small object moves along the x-axis with acceleration ar = -a(1-t/to). At t = 0 the object is at x = Xo meters and has velocity vo. What is the position of the object when t = 2to? a, xo, Vo, and to are positive constants.
The position of an object in simple harmonic motion as a function of time is given...
The position of an object in simple harmonic motion as a function of time is given by ? = 3.8??? (5??/4 + ?/6) where t is in seconds and x in meters. In t = 2.0s calculate (a) the period, (b) the oscillation frequency (c) velocity and (d) acceleration.   
An object undergoes simple harmonic motion along the x-axis with a period of 0.5 s and...
An object undergoes simple harmonic motion along the x-axis with a period of 0.5 s and an amplitude of 25 mm. Its position is x = 14 mm when t = 0 and it is heading in the -x-direction (negative). In your logbook write an equation of motion with all the variables identified and sketch a graph of position vs. time for the oscillator. What is the initial phase? [Work in rotational coordinates to 2 s.f. and enter nothing at...
please do 1,2 and 3 thanks 1.The position of a particle moving along the x axis...
please do 1,2 and 3 thanks 1.The position of a particle moving along the x axis is given in centimeters by x = 9.12 + 1.75 t3, where t is in seconds. Calculate (a) the average velocity during the time interval t = 2.00 s to t = 3.00 s; (b) the instantaneous velocity at t = 2.00 s; (c) the instantaneous velocity at t = 3.00 s; (d) the instantaneous velocity at t = 2.50 s; and (e) the...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT