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Multiple Choice

1. 1. Particle Movement<br />10 Multiple Choice<br />
2. 2. 1. The position of a particle moving along a straight line at any time t is given by s(t)=2t³–4t²+2t–1. What is the acceleration of the particle when t=2?<br /> 32<br />16<br /> 4<br />8<br />0<br />
3. 3. 2. A particle moves along the x-axis so that at any time t is given by x(t)= (t+1) (t–3)³. for what values of t is the velocity of the particle increasing?<br /> t>3 only<br />0<t<3 only<br />1<t<3 only<br />t<1 and t>3<br />0<t<3 and t>3<br />
4. 4. 3. A particle moves along the x-axis in such a way that its position at time t is given by x(t)= .What is the acceleration of the particle at time t=0?<br /> ‐3/5<br />‐4<br />4<br />2<br />‐2<br />
5. 5. 4. A particle moves along the x-axis so that at any time t its position is given by x(t)= + cos(2t) What is the acceleration of the particle at t= ?<br /> 0<br />1/2<br /> 3/2<br />5/2<br />7/2<br />
6. 6. 5. The position of a particle moving along a straight line at any time t is given by s(t)= t²+4t+4. What is the acceleration of the particle when t=4?<br /> 0<br />2<br />4<br />8<br />12 <br />
7. 7. 6. A particle moves along the x-axis in such a way that its position at time t is given by x(t)= 3t⁵–25t³+60t. For what values of t is the particle moving to the left?<br /> -2<t<1 only<br /> 1<t<2 only<br /> -1<t<1 and t>2<br /> -2<t<-1 and 1<t<2<br />t<-2, -1<t<1, and t>2<br />
8. 8. 7. If the position of a particle on the x-axis at time t is -5t², then the average velocity of the particle for 0 t 3 is<br /> -45<br />-30<br />-15<br />-10<br />-5<br />
9. 9. 8. A particle moves along the x-axis in such a way that its position at time t is given by x(t)=t²–6t+5. For what value of t is the velocity of the particle zero?<br /> 1<br />2<br />3<br />4<br />5<br />
10. 10. 9. The acceleration of a particle moving along the x-axis at time t is given by a(t)= 6t-2. if the velocity is 25 when t=3 and the position is 10 when t=1, then the position x(t)=<br />9t²+1<br />3t²–2t+4<br />t³–t²+4t+6<br />t³–t²+9t–20<br />36t³–4t²–77t+55<br />
11. 11. 10. A particle moves along the x-axis so that any time t is greater than or equal to zero its position is given by x(t)= t³–3t²–9t+1. For what values of t is the particle at rest?<br /> No values<br />1 only<br />3 only<br />5 only<br />1 and 3<br />
12. 12. ANSWERS<br />1. b<br /> 2. d<br /> 3. c<br /> 4. e<br /> 5. b<br /> 6. b<br /> 7. c<br /> 8. 9<br /> 9. c<br /> 10. c<br />
13. 13. Problems Worked Out<br />Links to reach answers to all 10 problems<br />1-5<br />scan0037.jpg.kw1vq1d.partial<br />6-10<br />scan0038.jpg.mu13u05.partial<br />