A car moves along a horizonatal road with constant velocityv0 = v0, x^ii = (30.06 m/s)^i until it encounters a smooth inclined hill. It climbs the hill with constant velocity. v1=v1x^+v1y^j = (44.2 m/s)^i + (3.23 m/s)^jWhat is the expression in cartesian unit vector notation, for average acceleration of the car during the given time period using the symbols provided?

A car moves along a horizonatal road with constant velocityv0 = v0, x^ii = (30.06 m/s)^i until it encounters a smooth inclined hill. It climbs the hill with constant velocity. v1=v1x^+v1y^j = (44.2 m/s)^i + (3.23 m/s)^jWhat is the expression in cartesian unit vector notation, for average acceleration of the car during the given time period using the symbols provided?

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter2: Motion In One Dimension

Section: Chapter Questions

Problem 11P: A particle moves along the x axis according to the equation x = 2.00 + 3.00t 1.00t2, where x is in...

See similar textbooks

Similar questions

A cart is propelled over an xy plane with acceleration components ax = 4.0 m/s2 and ay=-2.0 m/s2. Its initial velocity has components v0x = 8.0 m/s and v0y = 12 m/s. In unit-vector notation, what is the velocity of the cart when it reaches its greatest y coordinate?
An object has position given by the vector r = [3.0m + (6.0m/s)t] i + [2.0m - (2.0m/s2)t2] j, where quantities are in SI units. What is the speed of the object at t = 3.0s?
A spaceship is traveling at a constant velocity of v(t) = 300.0i m/s when its rockets fire, giving it an acceleration of a(t) = (9.0i + 9.0k) m/s^2. What is its velocity (in m/s) 4 s after the rockets fire? (Express your answer in vector form.)
The velocity v→ of a particle moving in the xy plane is given by v→=(5.50t-5.00t2)î+9.00ĵ, with v→ in meters per second and t (> 0) in seconds. At t = 1.40 s and in unit-vector notation, At what positive time does the speed equal 10.0 m/s?
At an air show, a jet plane has velocity components vx= 695km/h and v y =415km/h at time 4.35 s and v x =938km/h and V y =365km/h at time 7.52s. A)For this time interval, find the xxx component of the plane's average acceleration. b)For this time interval, find the yyy component of the plane's average acceleration. C)For this time interval, find the magnitude of its average acceleration. D)For this time interval, find the direction of its average acceleration.
A toy airplane is flying in a straight horizontal (parallel to the ground) path with a speed of vi = 26.0 m/s. Suddenly, the airplane's engines stop (at t=0). Using an x-axis that is horizontal and along the plane's original velocity and a y-axis that is vertical with positive away from the ground, the airplane now has an acceleration given by the following expressions: ax(t)=−t2/Cay(t)=−g[1−vx(t)/vi] where C=2363s4/m and vx(t) is the x component of the airplane's velocity. The airplane crashes 41.25 seconds after the engines stop. In this question I have to find the vertical Vy component of the plane when it hits the wall. I know that to get that I have to integrate ay(t) but I can't figure out what I'm supposed to put in for Vx(t) in the equation.
If you take a man to the top of a 20 m tall building and throw him off with a velocity of 5 m/s directed horizontally, what’s the magnitude of his velocity upon hitting the ground (in m/s)? answers include: 22.4 m/s 19.8 m/s 9.8 m/s 20.4 m/s
A fish swimming in a horizontal plane has velocity i = (4.00 î + 1.00 ĵ) m/s at a point in the ocean where the position relative to a certain rock is i = (16.0 î − 3.20 ĵ) m. After the fish swims with constant acceleration for 15.0 s, its velocity is = (21.0 î − 6.00 ĵ) m/s. (a) What are the components of the acceleration of the fish? ax = m/s2 ay = m/s2 (b) What is the direction of its acceleration with respect to unit vector î? ° counterclockwise from the +x-axis(c) If the fish maintains constant acceleration, where is it at t = 30.0 s? x = m y = m In what direction is it moving? ° counterclockwise from the +x-axis
A fish swimming in a horizontal plane has velocity i = (4.00 î + 1.00 ĵ) m/s at a point in the ocean where the position relative to a certain rock is i = (16.0 î − 3.20 ĵ) m. After the fish swims with constant acceleration for 15.0 s, its velocity is = (21.0 î − 6.00 ĵ) m/s. (a) What are the components of the acceleration of the fish? ax = m/s2 ay = m/s2 (b) What is the direction of its acceleration with respect to unit vector î? ° counterclockwise from the +x-axis(c) If the fish maintains constant acceleration, where is it at t = 30.0 s? x = 542.5 Remember that you can treat the motions in the x and y directions separately. Each is then treated exactly as you would the one-dimensional case. m y = m In what direction is it moving? ° counterclockwise from the +x-axi
The following equations give the position x(t) of a particle in four situations (in each equation, x is in meters, tis in seconds, and t> 0): (1) x = 3t - 4: (2) x = -5t3 + 4t2 + 6: (3) x = 2/t2 - 4/t; (4) x = 5t2 3. (a) In which situation is the acceleration a of the particle constant?
A dog running in an open field has components of velocity vxvxv_x = 2.6 m/sm/s and vyvyv_y = -1.8 m/sm/s at time t1t1t_1 = 10.0 ss. For the time interval from t1t1t_1 = 10.0 ss to t2t2t_2 = 24.0 ss, the average acceleration of the dog has magnitude 0.55 m/s2m/s2 and direction 31.0 ∘∘ measured from the +x+x-axis toward the +y+y-axis. 1. At time t2t2t_2 = 24.0 ss, what is the xx-component of the dog's velocity? Express your answer with the appropriate units. 2. At time t2t2t_2 = 24.0 ss, what is the yy-component of the dog's velocity? Express your answer with the appropriate units. 3. What is the magnitude of the dog's velocity? Express your answer with the appropriate units. 4. What is the direction of the dog's velocity (measured from the +x+x-axis toward the +y+y-axis)? Express your answer in degrees.
An atom is constrained to move along the horizontal axis only. At time t = 0.5 s, the atom is at x = 0.06 m. At time t = 2.8 s, the atom is at x = 0.46 m. What is the atom's average velocity?