A red car and a green car, identical except for the color, move toward each other in adjacent lanes and parallel to an x axis. At time t = 0, the red car is at xr = 0 and the green car is at xg = 220 m. If the red car has a constant velocity of +20 km/h, the cars pass each other at x = 44.3 m, and if it has a constant velocity of +40 km/h, they pass each other at x = 77.8 m. a). (a) What is the initial velocity of the green car? (Indicate direction with the sign of your answer.) b). (b) What is the acceleration of the green car? (Indicate direction with the sign of your answer.)

Q: A particle starts from rest at a position x(0) = 0. Find the velocity v(t) and position y(t) of the…

A:

Q: Os +15 m/s 1.) There is acceleration from 0 s to 5s. a.) True b.) False c.) It depends. d.) cannot…

A:

Q: A particle starts from rest at a position x(0) = 0. Find the velocity v(t) and position y(t) of the…

A:

Q: Given the following velocity function of an object moving along a​ line, find the position function…

A:

Q: Two cars travel in the same direction along a straight highway, one at a constant speed of 55 mi/h…

A: Given: speed of first car V1 = 55 mi/h speed of second car V2 = 60 mi/h

Q: Car A and car B, that are both initially at rest, are side-by-side in separate lanes of a straight,…

A:

Q: An object starts at the origin with an initial velocity of v0 = 10.0 m/s i + 15.0 m/s j. The object…

A:

Q: A graph of position versus time for a certain particle moving along the x-axis is shown in the…

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: unner A is initially 1.0 mi west of a flagpole and is running with a constant velocity of 3.0 mi/h…

A: The position of runner A from flagpole is 0.668 mi. in east direction.

Q: A rail gun shoots a projectile in a straight line with acceleration aa and in time tt as defined by…

A: Given: a = 3 - 2 t at t = 1 s, v = 10 m/s

Q: A particle moving at a velocity of 4.0 m/s in the positive x direction is given an acceleration of…

A: initial velocity (u) = 4 ms , along + x direction acceleration (a) = 3 ms2 , along +y direction time…

Q: One simple model for a person running the 100 m dash is to assume the sprinter runs with constant…

A:

Q: Runner A is initially 1.0 mi west of a flagpole and is running with a constant velocity of 3.0 mi/h…

A: Let's draw a directional diagram for better understanding of this problem

Q: Two cars leave from an intersection at the same time. Car A travels south at 80 km/h, while car B…

A:

Q: 38. The acceleration of a particle as it moves along the x-axis is given by the function a(t) = -…

A: Acceleration of the particle is given as at=-sint-3cost For the velocity, integrating the above…

Q: If the position of a particle is given by x(t) = 12 t^2 - t^3, where x is in meters and t is in…

A:

Q: What should a graph of the position vs time look like if it shows an object moving to the left at a…

A:

Q: the velocity of an object is given by v = 3.6t +2.6 (m / s). determine the displacement (in meters…

A:

Q: A ball is projected upward at time t = 0.0 s, from a point on a roof 90 m above the ground. The ball…

A:

Q: A man walks on a straight road from his home to a market 5 km away with a speed of 10 km/h. Finding…

A: GivenThe distance between the home and market (d) = 5 kThe velocity at which the person travelled…

Q: (4) average velocity of the particle is half its final velocity (17. The displacement of a particle…

A:

Q: Runner A is initially 8.0 mi west of a flagpole and is running with a constant velocity of 5.0 mi/h…

A: Given: The distance of the runner A from the flagpole is 8.0 mi west            The velocity of…

Q: 8 6 4 2 -4 -6 -8 0 1 2 3 4 5 6 7 8 clock reading (s) velocity (m/s)

A:

Q: An atom is constrained to move along the horizontal axis only. At time t = 0.7 s, the atom is at x =…

A: The average velocity(v) of any particle can be given as, v = ∆x∆t = change in displacementchange in…

Q: An object moves along the x - axis, its position given byx(t)= 2t2. Which of the following cannot be…

A: The position versus time graph divides the instantaneous positions of the object. The change in…

Q: A car starts from rest, then accelerates at a constant rate over a distance of 89 m. It then…

A: Given value--- first covered distance = 89 m. second cover distance ÷ 152 m. total taken time =…

Q: A particle is moving with a constant acceleration from x1 = 2.0 m to x2 = 8.0 m during a 2.5 second…

A: Distance covered(s) = 8m-2m =6m time(t) = 2.5s Final velocity (v) = 2.8m/s Initial velocity = u…

Q: Car A moves to the right with velocity 12 m/s. As soon as it reaches Car B, Car A accelerates at…

A: The given initial velocity of the car A is uA = 12 m/s and the initial velocity of the car B is uB =…

Q: Runner A is initially 1.0 mi west of a flagpole and is running with a constant velocity of 7.0 mi/h…

A: Given: The initial position of the runner A is x0A = -1.0 mi. The initial position of the runner B…

Q: The position of a particle moving along the x-axis varies with time according to x(t) = 5.0t2 −…

A:

Q: A particle moves from an initial position with coordinates x = -2.0 m, y = +3.0 m, to a final…

A:

Q: A super ball dropped from rest falls 2 meters vertically downward and rebounds 2 meters upward in a…

A: The ratio of the total distance to the total time taken is the average speed.  The ratio of the…

Q: A graph of position versus time for a certain particle moving along the x- axis is shown. Find the…

A:

Q: A race car starts from rest and travels east along a straight and level track. For the first 5.0 s…

A: Given that, the velocity as a function of time  Ux(t) = (0.920m/s)t^2 We are required to calculate…

Q: A helicopter is in level flight with a constant horizontal speed of 11 m>s. At t = 0 it begins to…

A:

Q: A cheetah is crouched 20m to the east of an observer's vehicle. At time t=0 the cheetah charges an…

A: The Cheetah starts its chase at t=0 s at an initial displacement of x0=20 m. The Cheetah at some t…

Q: A particle that moves along the x-axis has its position given by x=54t – 2t^3 m. At the instant t =…

A:

Q: The position versus time for a certain particle moving along the x axis is shown in the figure. Find…

A: Ans:- Image-1

Q: Runner A is initially 9.0 mi west of a flagpole and is running with a constant velocity of 2.0 mi/h…

A:

Q: The velocity of a particle is given by v(t) =t² - 2t. The position of the particle at the time t = 0…

A:

Q: Under what condition is average velocity equal to the average of the object's initial and final…

A: Given that:- Average velocity is equal to the average of initial and final velocity.

Q: A football quarterback runs 15.0 m straight down the playing field in 3.00 s. He is then hit and…

A: Given data:  The displacements are  X1 = 15.0 m in t1 = 3.00 s X2 = -3.00 m in t2 = 1.77 s X3 = 25.0…

Q: A graph of position vs. time for a certain particle moving along the x-axis is shown. Find the…

A: From the graph we can se the values of  x1 and x2  and t1  and t2   Formula for average velocityv =…

Q: Suppose that an object is moving with a constant velocity. Which statement concerning its…

A:

Q: As soon as a traffic light turns green, a car speeds up from rest to 50.00 mi/h with constant…

A: The velocity of the car is, vcar=50 mi/h1.47 ft/s1 mi/h=73.5 ft/s The velocity of the bicycle is,…

Q: I need help on P2.19.

A: The required time is,

Q: A graph of position versus time for a certain particle moving along the X-axis is shown in the…

A: Given : Position versus time graph To find : Average velocity from 0 to 2 s

Distance and Speed

The speed, distance and time relation forms the basis of study of motion. You will need these concepts in the study of Mechanics. This concept is applicable for students who are studying the following courses –