2. A Blue has a constant acceleration of 3.00 m/s² i and is initially at rest. A Red object has an initial velocity of -5.00 m/s i and is initially 100 m in front of the Blue object. a) How long does it take to Blue object to move 50.0 m from its initial position? Blue a =3.00 is BLUE RED Vi = 0 Vi = -5.00 Dx=50 Ax=2at?+Vit G0 = (3 )t?+ Ot 50=1.5E2 %3D t=5.775 b) What acceleration should the Red object have if it is to collide with the Blue object upon traveling 50.0 m towards it? Note that the Red object must move in the -x direction. 100m RED Blue 4x = 50m -- 2. a =3.00ms Vi = -5.oom 4X =5O=same 4x=50 sOme 4x =a+?+ vit 2. 50=7a c) If the Red object actually has an acceleration of 1.50 m/s?, what is the distance between the two objects at t = 3.00 seconds? %3D △メレー -attvit BしVE a = 1.50ms² a = 3.00m,s? Arp =(3)(3)"to = 13.5 AKB 0=13.5 Ax =?= same Ź (1.50)(3)°+ (- 5)(3) %3D t= 3 s %3D Ax = ?same ViニーS m) -8.25 |4-Axpl= ムx8-△xp1 AXB 13.5-(-8.2) ムxニ21.8m 100-21.8=D78.2 d) If the Red object actually has an acceleration of 1.50 m/s?, at what time are their speeds the same? VF= at + Vi %3D Blue 2. aニ3.00m? a = 1.50mis Vi = O Vi=-5m/s VE= 150t + (-s) t= same t= same %3D %3D
Displacement, Velocity and Acceleration
In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.
Linear Displacement
The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.
Answer part D). If the red object actually has an acceleration of 1.50 m/s2, at what time are their speeds the same?
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