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Mathematics
10th -
12thgrade
Derivative, displacement, velocity, acceleration
19 questions
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- 1. Multiple ChoiceWhat is the average rate of change from x=0 to x=1-3302
- 2. Multiple ChoiceFrom 3 seconds to 11 seconds....Terrence is skating towards quicklyTerrence is skating away quicklyTerrence is not movingTerrence is skating towards slowly
- 3. Multiple ChoiceFrom 11 to 16 seconds....Terrence stopped to tie his shoeTerrence is skating quicklyTerrence is skating slowlyTerrence is at the top of a hill
- 4. Multiple ChoiceFind the derivative of the given equation
f(x) = x3 + x2 + 33x2 + 2x3x + 2x3x + 2x + 3x3 + x2 - 5. Multiple ChoiceIf the position of a particle is represented by x(t) = -t2 + 1, what is its instantaneous velocity at t = 1?v = 0v = 1v = -1v = -2
- 6. Multiple ChoiceSet up the derivative of y=(3x4 - 7)*(5x2 + 1)(12x3)*(10x)(3x4 - 7)*(10x) + (12x3)*(5x2 + 1)(3x4 - 7)*(10x) - (12x3)*(5x2 + 1)(3x4 - 7)/(10x) + (12x3)/(5x2 + 1)
- 7. Multiple ChoiceThe position of an object is given as a function of time by x = 3t2 + 5t3 - 2t
What is the acceleration of the object at time t = 2 s?64 m/s/s60 m/s/s66 m/s/s70 m/s/s - 8. Multiple ChoiceABCD
- 9. Multiple ChoiceABCD
- 10. Multiple ChoiceFind the derivative of g(x)=(3x-2)/(x2+2)9x2+23(x2+2)/(x2+2)2(-3x2+4x +6)/(x2+2)2(-3x2+10)/(x2+2)2
- 11. Multiple ChoiceFind the second derivative of the function:
f (x) = 2x - 5x6f ''(x)= 2 - 30xf ''(x) = 2-30x5f ''(x) = -30x5f ''(x) = -150x4 - 12. Multiple ChoiceGiven the position function, find the acceleration at t=8-2123
- 13. Multiple ChoiceWhat is the speed of this object at 3 seconds?5 m/s45 m/s5 s/m45 s/m
- 14. Multiple ChoiceA 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
- 15. Multiple ChoiceThe 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
- 16. Multiple ChoiceThe 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
- 17. Multiple ChoiceGiven x(t)=t3-4t2+7, what is the initial position?11-1070
- 18. Multiple Choices(t) = t2 - 20
Find the average velocity from t = 3 to t = 5.2468 - 19. Multiple ChoiceAn 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 - Answer choicesTagsAnswer choicesTags