Problem

In is In a local diner, a customer slides an empt…

03:04

Problem 35 Medium Difficulty

Towns $A$ and $B$ in Figure $P 3.35$ are 80.0 km apart. A couple arranges to drive from town $A$ and meet a couple driving from town $\mathrm{B}$ at the lake, $\mathrm{L}$ . The two couples leave simultaneously and drive for 2.50 $\mathrm{h}$ in the directions shown. Car 1 has a speed of 90.0 $\mathrm{km} / \mathrm{h}$ . If the cars arrive simultaneously at the lake, what is the speed of car 2 ?

Answer

$v _ { 1 \mathrm { B } } = 68.94 \mathrm { km } \mathrm { h } ^ { - 1 }$

Topics

Motion Along a Straight Line

Motion in 2d or 3d

Newton's Laws of Motion

Rotation of Rigid Bodies

Dynamics of Rotational Motion

Equilibrium and Elasticity

Book Cover for College Physics 2017

College Physics 2017

Chapter 3

Motion in two Dimensions

Discussion

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Top Physics 101 Mechanics Educators

LB

Liev B.

Numerade Educator

Farnaz M.

Other Schools

Aspen F.

University of Sheffield

Meghan M.

McMaster University

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Video Transcript

so we can first say that a L line segment A l is equaling the sub one times T. This would be equaling 90 0.0 kilometers per hour, multiplied by two and 1/2 hours, 2.50 hours and this is giving us 225 kilometers. Now. We can say that line segment B D or the distance between B D is equaling a D minus a B, and this is essentially equaling a L Co sign of 40 degrees minus 80 kilometers. And so this is giving us 92 0.4 kilometers after subbing in 225 kilometres for a L now from the Triangle B L D. We can say that B l will be equaling the square root of B d quantity squared plus d l quantity squared and this is giving us the square root of 92.4 kilometers quantity squared plus et al sign of 40 degrees quantity squared again. You're substituting 225 kilometres for a L, and we find that B O is equaling 172 kilometers. So now, because car to travels this distance in two and 1/2 hours. We can say that the velocity four Car two is gonna be equaling. 172 kilometers divided by again. Two and 1/2 hours. 2.50 hours. And this is giving us 68.8 kilometers per hour for the constant velocity. Four card too. That is the end of the solution. Thank you for watching.

Averell H.

Carnegie Mellon University

Topics

Motion Along a Straight Line

Motion in 2d or 3d

Newton's Laws of Motion

Rotation of Rigid Bodies

Dynamics of Rotational Motion

Equilibrium and Elasticity

Book Cover for College Physics 2017

College Physics 2017

Chapter 3

Motion in two Dimensions

Top Physics 101 Mechanics Educators

LB

Liev B.

Numerade Educator

Farnaz M.

Other Schools

Aspen F.

University of Sheffield

Meghan M.

McMaster University