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- Multiple ChoicePlease save your changes before editing any questions.If the position of a particle is represented by s(t) = -t2 + 1, what is its position at t = 1?Position = 0Position = 1Position = 2Position = -1
- Multiple ChoicePlease save your changes before editing any questions.If the position function for a particle is s(t) = -t2 - t, what is the instantaneous velocity function for the particle?v(t) = -2v(t) -2t - 1v(t) = t3v(t) = -t
- Multiple ChoicePlease save your changes before editing any questions.If the position of a particle is represented by s(t) = -t2 + 1, what is its instantaneous velocity at t = 1?Velocity = 0Velocity = 1Velocity = -1Velocity = -2
- Multiple ChoicePlease save your changes before editing any questions.The acceleration function is the first derivative of...positionvelocitycalculusparticle motion
- Multiple ChoicePlease save your changes before editing any questions.
A bug begins to crawl up a vertical wire at time t = 0. The velocity v of the bug at time t, 0 < t < 8, is given by the function whose graph is shown behind this text. At what value of t does the bug change direction?246.57 - Multiple ChoicePlease save your changes before editing any questions.The position function x(t)=7t2-18t-7 is given. What is the velocity function?v(t)=14t-18v(t)=14t+18v(t)=18t-14v(t)=18t+14
- Multiple ChoicePlease save your changes before editing any questions.The position function x(t)=t3+6t2+16t-18 is given on the interval of 0<x<9. What is the velocity at t=6?19719018196
- Multiple ChoicePlease save your changes before editing any questions.The velocity of an object is given as v = 2t + 3t3. What is the acceleration of the object at t = 2 secs?38 m/s/s27 m/s/s16 m/s/s49 m/s/s
- Multiple ChoicePlease save your changes before editing any questions.Given x(t)=t3-4t2+7, what is the initial position?11-1070
- Multiple ChoicePlease save your changes before editing any questions.A particle's speed is decreasing ifit's acceleration is positiveit's velocity is positiveit's velocity and acceleration have the same signit's velocity and acceleration have different signs
- Multiple ChoicePlease save your changes before editing any questions.A particle has positive velocity if it's position graph isnegativepositivedecreasingincreasing
- Multiple ChoicePlease save your changes before editing any questions.A particle has negative velocity if it's position graph isnegativepositivedecreasingincreasing
- Multiple ChoicePlease save your changes before editing any questions.v(t)>0 meansthe particle is moving to the rightthe particle is moving to the leftthe particle has positive positionthe particle is at rest
- Multiple ChoicePlease save your changes before editing any questions.Which of the following can be used to determine when a particle is at rest?x(t)=0v(t)=0a(t)=0
- Multiple ChoicePlease save your changes before editing any questions.s(t) = t2 - 20
Find the average velocity from t = 3 to t = 5.2468 - Multiple ChoicePlease save your changes before editing any questions.An objects distance from its starting point at time t is given by the equation
s(t) = t3 - 6t2 - 4.
What is the speed of the object when its acceleration is 0?2-242244 - Multiple ChoicePlease save your changes before editing any questions.If Distance is a function of Time, what is the average rate of change from 6 to 9 seconds?3.3 feet per second-10 feet per second-3.3 feet per second10 feet per second
- Multiple ChoicePlease save your changes before editing any questions.What is the total distance of the object represented in this motion graph?0 meters300 meters450 meters600 meters
- Multiple ChoicePlease save your changes before editing any questions.What is the total displacement of the object represented in this motion graph?0 meters300 meters450 meters600 meters
- Multiple ChoicePlease save your changes before editing any questions.What is the total distance of the object represented in this motion graph?0 meters100 meters140 meters200 meters
- Multiple ChoicePlease save your changes before editing any questions.What is the total displacement of the object represented in this motion graph?0 meters100 meters140 meters200 meters