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If the car passes point $A$ with a speed of $20 \mathrm{m} / \mathrm{s}$ and begins to increase its speed at a constant rate of $a_{t}=0.5 \mathrm{m} / \mathrm{s}^{2},$ determine the magnitude of the car's acceleration when $s=101.68 \mathrm{m}$ and $x=0$

$1.68 \mathrm{m} / \mathrm{s}^{2}$

Physics 101 Mechanics

Chapter 12

Kinematics of a Particle

Motion Along a Straight Line

Newton's Laws of Motion

Applying Newton's Laws

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the position of the car didn't stand. It is defined from the fixed point and the fixed point is a there is s is equal to zero using the position or part. Coordinate. Uh, yes. The EC solution is to be determined A t o b. So X relation is determined is to be determined it be when s is equal to 100 m and X is equal to zero, right? Well, to determine the X relation components tangent to lax relation musical to we don't and normal X relation Normal X relation is equal to B squared divided by role Well, ladies first necessity to form weight Uh, we and we don't so that they may be people Wait, it'd be it Point B since the car increases its speed at a constant rate of suit a 0.0.5 meters per second square. So dancing to relax relations equal to 0.5 me to her for a second square. Then they've lost two of the car. When passing be, uh which is eight s is equal to 100 b. Turner can be obtained using the equation. Ah, we be square is equal to we a square artless do times our dandan chillax relation into, uh, SB position of B minus position off a right. So realizing beat we A is equal to 20 m per second. When this is equal to zero, then we have ah, we be square. We be square is equal to 20 square pless two into 0.5 into 100 minus zero. So we be screened musical to 500 meter square for second square All right, well, the card spot is defined by why is equal to 16 minus one, divided by 625 x square, then divided by the by D X is equal to minus two, divided by 625 picks and d square. Why divided by D. X clear is equal to minus two, divided by 625 minus studi body by 625 Right then the radius off richer off to park it be it be when x is equal Prosciutto is given by So robi is given by one bliss de by divided by r D X old square Ah, tree by two divided by Are these great line D squared? Why divided by are the X square, which is equal to one bliss minus two, divided by 625 x whole square to the power through divided by do divided by, uh minus two. Divided by 625. Andi, you let this eight x is equal to zero, then roll and B is equal to 312.5 meter, right? No. Huh? Ex relation. It be so normal. X relation B is equal to the square. Be divided by robi physical too. 500 m square for second square, divided by 312.5 which is equal to 1.6. Me too per second square and total x relation or um, no, we see did before calculating total X religion your point b so tangential x relation it point B is equal to tangential x relation. Uh, sorry, it's Yeah, tangential x relation. It point B is equal to tangential X relation. Right? See which is equal to 0.5 meter per second square and the magnitude of the cars Exploration at point B is given by so a b physical to root 0.5 ah square less 1.6 square, which is equal to 1.68 meteor where seconds

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