Suppose the position vector for a particle is given as a function of time by r(t) = x(t)î + y(t)j, with x(t) = at + b and y(t) = ct? + d, where a = 2.00 m/s, b = 1.50 m, c = 0.132 m/s?, and d = 1.02 m. (a) Calculate the average velocity during the time interval fromt = 2.25 s to t = 4.25 s. V = m/s (b) Determine the velocity at t = 2.25 s. v = m/s Determine the speed at t = 2.25 s. m/s
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- Suppose the position vector for a particle is given as a function of time by r(t) = x(t)î + y(t)ĵ, with x(t) = at + b and y(t) = ct2 + d, where a = 1.10 m/s, b = 1.25 m, c = 0.123 m/s2, and d = 1.02 m. (a) Calculate the average velocity during the time interval from t = 1.85 s to t = 3.85 s. (b) Determine the velocity and speed at t = 1.85 s.Suppose the position vector for a particle is given as a function of time by r(t) = x(t)î + y(t)ĵ, with x(t) = at + b and y(t) = ct² + d, where a = 1.10 m/s, b = 1.05 m, c = 0.124 m/s², and d = 1.16 m. (a) Calculate the average velocity during the time interval from t = 2.25 s to t = 3.85 s. V= (b) Determine the velocity at t = 2.25 s. V= m/s Need Help? Determine the speed at t = 2.25 s. m/s Read It m/sSuppose the position vector for a particle is given as a function of time by r(t) = x(t)i + y(t)ĵ, with x(t) = at + b and y(t) = ct² +d, where a = 1.90 m/s, b = 1.50 m, c = 0.123 m/s², and d = 1.16 m. (a) Calculate the average velocity during the time interval from t = 1.90 s to t = 4.05 s. m/s V= (b) Determine the velocity at t = 1.90 s. m/s V= Determine the speed at t = 1.90 s. m/s
- Suppose the position vector for a particle is given as a function of time by r(t) = x(t)î + y(t)ĵ, with x(t) = at + b and y(t) = ct² + d, where a = 1.40 m/s, b = 1.50 m, c = 0.117 m/s2, and d = 1.12 m. (a) Calculate the average velocity during the time interval from t = 2.15 s to t = 4.10 s. v= 2.9i + (0.234t + 1.12)j m/s (b) Determine the velocity at t = 2.15 s. v = 2.9i + 1.57j m/s Determine the speed at t = 2.15 s. The correct answer is not zero. m/sSuppose the position vector for a particle is given as a function of time by r(t) = x(t)î + y(t)ĵ, with x(t) = at + b and y(t)=ct2 + d, where a = 2.00 m/s, b = 1.35 m, c = 0.115 m/s2, and d = 1.14 m. (a) Calculate the average velocity during the time interval from t = 1.85 s to t = 3.75 s. v = m/s (b) Determine the velocity at t = 1.85 s. v = m/s Determine the speed at t = 1.85 s.Suppose the position vector for a particle is given as a function of time by r(t)=x(t)i^+y(t)j^, with x(t)=at+b and y(t)=ct2+d, where a=1.00m/s,b=1.00m,c=0.125m/s2, and d=1.00m. (a) Calculate the average velocity during the time interval from t=2.00s to t=4.00s. (b) Determine the velocity and the speed at t=2.00s
- Suppose the position vector for a particle is given as a function of time by r(t) = x(t)î + y(t)j, with x(t) = at + b and y(t) = ct + d, where a = 2.00 m/s, b = 1.15 m, c = 0.116 m/s2, and d = 1.08 m. (a) Calculate the average velocity during the time interval from t = 2.25 s to t= 3.80 s. m/s (b) Determine the velocity at t = 2.25 s. v = m/s Determine the speed at t = 2.25 s. m/sSuppose that the position vector for a particle is given as a function of time by (t) = x(t)î + y(t)ĵ, with x(t) = at + b and y(t) = ct2 + d, where a = 2.00 m/s, b = 1.05 m, c = 0.117 m/s2, and d = 1.16 m. (a) Calculate the average velocity during the time interval from t = 2.05 s to t = 3.85 s. = m/s (b) Determine the velocity at t = 2.05 s. = m/s Determine the speed at t = 2.05 s. m/sSuppose the position vector for a particle is given as a function of time by , with x(t) = at + b and y(t) =ct2 + d, where a = 1.00 m/s, b = 1.00 m, c= 0.125 m/s2, and d = 1.00 m. (a) Calculate the average velocity during the time interval from t = 1.00 s to t = 4.00 s. (b) Determine the velocity and the speed at t = 3.00 s. (c) Determine the acceleration at t = 3.00 s.
- An ion's position vector is initially 7 = (-3,9 m )i + (-8.6 m )j + (-3.4 m )k, and 9.3 s later it is 7 = (-2.6 m )i + (7.3 m )ĵ + (1.0 m )R. In unit-vector notation, what is its average velocity during the 9.3 s? Number i k Units m/sA particle located initially at (1.5ˆj + 4.0ˆk) m undergoes a displacement of (2.5ˆi+ 3.2ˆj − 1.2ˆk) m. (a) What is the final position of the particle? (b) If the time needed to displace the particle from its initial position to its final position is 5 s, determine the particle’s average velocity vector.What is the instantaneous acceleration of a particle at t = 0.56 s whose position vector is given by the function 7= (2.1lt?)i + (3.6t) j. Assume all quantities are in Sl units. O ā = (0.66 m/s²)i + (2.0 m/s²)} O ā = (3.6 m/s?) Oā = (4.2 m/s²)î O ā = (2.1 m/s²)î + (3.6 m/s²)ĵ