Problem Two cars are driving towards each other on a straight road with speeds voA = 72 km/h and VOB = 54 km/h. When the distance bewteen them is 150 m, their drivers push the brakes simultaneously and start decelerating uniformly to avoid a collision. Assuming that the two cars stop at a distance of 10 m from each other, and that car A stops 1.0s later than car B, determine a) the acceleration of each car; b) the braking distances for each car; c) the braking times for each car.

Q: Consider the vector 7.2I - 4.6j, where i points horizontally to the right and j vertically upwards,…

A: Given The vector is given as A→=7.2i^-4.6j^   We have to find the magnitude of the vector and the…

Q: Say that a is a vector (nonzero) in the third dimension. b and c are two other vectors. If a • b = a…

A: given that, a is a 3d vector  and b and c are other two vector . a⇀ . b⇀ = a⇀ . c⇀

Q: Can you calculate the following 2(vector B x (3 x vector C)) Where vector B is (-3,0,1) Vector C…

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Q: (a) In unit-vector notation, what is the sum of a = (3.2 m )î + (3.7 m )ĵ and b = ( − 12.0 m )i +…

A: The vectors are given as, a→=(3.2 m)i^+(3.7 m)j^b→=(−12.0 m)i^+(8.0 m)j^

Q: Is there any point on the trajectory where v and a are parallel to each other? If so, where? Essay…

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Q: TRY: In a two-dimensional tug of war, Alex, Betty and Charles pull an automobile tire at the angles…

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Q: Use v = (2,-7) and w = (-9, 3) to find the quantity. (Give your answer using component form or…

A: The vector is a physical quantity which has both magnitude and direction. It is generally written in…

Q: Write v = (-5, 12) as a product of its magnitude and a unit vec- tor in the direction of v.

A: Given Data: The vector v is given as, v=-5,12   The expression for the unit vector v is,…

Q: at the origin.

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Q: Find a vector equation for the line through the point (8, –1, -2) parallel to the line x = 13 + 8t,…

A: Given  X = 13+8t Y = 24-5t Z = 39-2t Poin on line is (8,-1,-2)

Q: (1.35N, 68°) and (1.22N, 291°). Find the -component of . (Begin by finding the x components of…

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Q: Use the quadratic formula to solve for x. (Enter your answers as a comma-separated list.) 2x2 − 7x…

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Q: Consider the following 2D vector given in component form v = (5.8,7.2). At what angle is this vector…

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Q: Loop 2 Loop 1 -R1 R2 R3 (A DI4 (A2 V 1

A: The current in the direction of the loop is taken positive and that opposite to it is taken as…

Q: L is a straight line in the plane, point A is at a distance of 2cm. from L Show how to draw a circle…

A: To draw a circle of radius 3cm that passes through point A and its center lies on the straight line…

Q: Consider a vector A = -3 a, + 2z az, convert A to spherical coordinates and find the radial…

A: Solution: It is given that, A=-3ay+2zazSo,Ax=0; Ay=-3; Az=2z   If we change the coordinate(x,y,z) to…

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 –