A proton moves along the x axis according to the equation x = 30 t + 14 t2, where x is in meters and t is in seconds. Calculate (a) the average velocity of the proton during the first 3.0 s of its motion, (b) the instantaneous velocity of the proton at t = 3.0 s, and (c) the instantaneous acceleration of the proton at t = 3.0 s. (a) Number i (b) Number i (c) Number i Units Units Units

A proton moves along the x axis according to the equation x = 30 t + 14 t2, where x is in meters and t is in seconds. Calculate (a) the average velocity of the proton during the first 3.0 s of its motion, (b) the instantaneous velocity of the proton at t = 3.0 s, and (c) the instantaneous acceleration of the proton at t = 3.0 s. (a) Number i (b) Number i (c) Number i Units Units Units

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

Duning NASA microgravity drop test at Kennedy Space Center, Inter Bayamon Cubesat, PR CuNar 2 reached a speed of 3 mis along a crcular trajectory that has a radius of 20 m. For a short distance from s =0, its speed is then increase by atangential = (03s) m/s, where s is in meter. a) Determine its speed when its has moved s 10 m. b) Determine the magnitude of its acceleration when it has moved s 10 m. t al
The planetary model of the atom pictures electronsorbiting the atomic nucleus much as planets orbit the Sun. Inthis model you can view hydrogen, the simplest atom, ashaving a single electron in a circular orbit 1.06×10−10 m indiameter. (a) If the average speed of the electron in this orbitis known to be 2.20×106 m/s , calculate the number ofrevolutions per second it makes about the nucleus. (b) Whatis the electron’s average velocity?
92100717782189 ed by Synchrony Bank. Use of the credit ca constitutes acceptance of the credit card agreement, including ients. Also accepted at Online account management at SamsClubCredit.com Walmart 24 Hour Credit Card Service the origin? Assume the blocks are equal length. and 26 blocks south. What is its final displacement from 2. (I) A delivery truck travels 21 blocks north, 16 blocks of origin (magnitude anu Unctuvn, east,
If the velocity of a particle is nonzero, can the particle’s acceleration be zero? Explain.
The driver of a car traveling on the highway suddenly slams on the brakes because of a slowdown in traffic ahead. a) If the car’s speed decreases at a constant rate from 75 mi/hmi/h to 40 mi/hmi/h in 3.0 ss, what is the magnitude of its acceleration, assuming that it continues to move in a straight line? b) What distance does the car travel during the braking period?
A proton moves along the x axis according to the equation x = 50t + 10t2, where x is in meters and t is in seconds. Calculate (a) the average velocity of the proton during the first 3.0 s of its motion, (b) the instantaneous velocity of the proton at t = 3.0 s, and (c) the instantaneous acceleration of the proton at t = 3.0 s. (d) Graph x versus t and indicate how the answer to (a) can be obtained from the plot. (e) Indicate the answer to (b) on the graph. (f) Plot v versus t and indicate on it the answer to (c).
tourist throws a rock horizontally off the edge of a high cliff, with an initial velocity of lo m.s! a) Taking the y-axis to be upward, write equa- tions for the x- and y. coordinates as functions of time. b) Calculate the values of x and y at times t=0, 0.5, 1.0, 1.5 and 2.0 S c) Write equations for the x and y components of the rock's velocity. d) Find the magnitude and direction of the velocity at time to los. Is the velocity tangent to the trajectory?
Nerve impulses in a human body travel at a speed of about 100 m/s. Suppose a person accidentally steps barefoot on a pebble. About how much time does it take the nerve impulse to travel from the foot to the brain (in s)? Assume the person is 2.00 m tall and the nerve impulse travels at uniform speed. s ?
help me pleaseee
UST Eco-Tiger vehicle climbed to a hill which is defined by the equation, x2 =625(16 -y). If the vehicle moves from point A with a speed of 20 m/s and startsto speed up at constant rate for exactly 4.72136 seconds until it reachespoint B. Determine the magnitude of the vehicle's acceleration when thedistance from A and B is 100 meters.
At time t = 0 a particle starts moving along a line with equation of motion s(t) = t^3−4t^2+ 6, whereS is meters and t is in seconds.a) Give the velocity and acceleration functions.b) What is the velocity at time t = 2?c) When is the acceleration 2 m/s^2?
In the classic book by Jules Veme, Phileas Fogg travels around the world in 80 days. Leaving London, heading east, and arriving back in London 80 days later from the west. If the radius of the Earth is 6.38 x 106 m (for this problem, treat London as being on the equator), find the average velocity of Mr. Fogg. P.. zero 2.0.92 m/s C 5.8 m/s E More information is needed. A student throws a ball straight up at 22 m/s, releasing the ball 1.5 m above the ground. What is the maximum height of the ball above the ground? A. 24.7 m D.3.0 m C.15.3 m 26.2 m E. 27.7 m CS mcanner