If a proton’s position as a function of time is given by r = 2.00t^3 i − 7.00t^4 j, with t in seconds and r in meters, what is its speed at t = 1.50s?
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If a proton’s position as a function of time is given by r = 2.00t^3 i...
The position in an object as a function of time is given as ? (?) = ?? + ??^-3. X is expressed in meters and t in seconds. A. What are the units of A and B? B. What is the speed and acceleration for t = 3 seconds?
Particle 1 has mass 3.42 kg and its position in meters as a function of time is given by r1(t) = 2.00t i + 7.00t2j. Particle 2 has mass 5.00 kg and its position in meters as a function of time is given by r2(t) = 7.00 i - 8.00t3j. (a) At time t = 0.433 s, the center-of-mass of the two particles is located at m/s i + m/s j (b) At time t = 0.658 s, the velocity...
Suppose that the position vector of a particle is given by the following function of time: r = (6.0 + 2.0t^2)i + (3.0 - 2.0t + 3.0t^2)j where distance is measured in meters and time in seconds. (a) What is the instantaneous velocity vector at t=2.0 s? What is the magnitude of this vector? (b) What is the instantaneous acceleration vector? What are the magnitude and direction of this vector?
Object A has a position as a function of time given by r A(t) = (3.00 m/s)t i^ + (1.00 m/s2)t2 j^. Object B has a position as a function of time given by rB(t) = (4.00 m/s)t i^ + (−1.00 m/s2)t2 j^. All quantities are SI units. What is the distance between object A and object B at time t = 3.00 s?
If the position vector is given by R(t)=(t^3-t)i +t j, and t in seconds, is there a minimum speed? If yes, what is it’s value?
The vector position of a particle varies in time according to the expression r-7.40 i-8.20t2 j where r is in meters and t is in seconds. (a) Find an expression for the velocity of the particle as a function of time. (Use any variable or symbol stated above as necessary.) m/s (b) Determine the acceleration of the particle as a function of time. (Use any variable or symbol stated above as necessary.) m/s2 (c) Calculate the particle's position and velocity...
a particle moves along the x axis. its position as a function of time is given by x = 6.8 t + 8.5 t^2 , where t is in seconds and x is in meters. what is the acceleration as a function of time?
Pg.3 51. The position function of a particle moving along an x- axis is given by )4.Se+10+2: where x is measured in meters and t in seconds. a) Where is the particle located at exactly 1s? 5) What is the magnitude of the velocity at 1.5s? ) At what time, if ever, does the particle (momentarily) stop? d) Where is the particle at the time it stops? e) When, if ever, is its acceleration zero? 6] An Airplane whose ground...
The position vector of a particle of mass 2.10 kg as a function of time is given by r with arrow = (6.00 î + 5.80 t ĵ), where r with arrow is in meters and t is in seconds. Determine the angular momentum of the particle about the origin as a function of time. k kg · m2/s 6.00 і + 5.80 tj. where r ıs in meters and t is in seconds. Determine the angular momentum of the...
The vector position of a particle varies in time according to the expression r = 8.20 i-5.60p j where r is in meters and t is in seconds. (a) Find an expression for the velocity of the particle as a function of time. (Use any variable or symbol stated above as necessary.) x m/s Determine the acceleration of the particle as a function of time. (Use any variable or symbol stated above as necessary.) X m/s2 (c) Calculate the particle's...