The position at t=0 was given as 16. Substituting t=0 and x(t)=16 into the position function gives the constant B, which must equal 16. Using x(t)=8t^( 5/2)+Ct+16 and the position of the particle at t=1 allows you to solve for C. The position at t=1 was given as...
To find when the particle is at rest, you must set thev elocity function equal to 0 and solve for t. The velocity function is the first derivative of the position function. Remember to use the product rule on the position function in order to take the derivative correctly.x(t)=te^(...
A particle moves along the x-axis so that at any time t≥q 0, its position is given by x(t)=(sin (3t))^2 . What is the speed of the particle at t= (π )4? ( ) A. -3 B. -1 C. 1 D. 3 相关知识点: 试题来源: ...
题目A particle moves along the x-axis so that at any time t≥q 0 the acceleration of the particle is a(t)=e^(-2t). If at t=0 the velocity of the particle is 52 and its position is (17)4, then its position at any time t>0 is x(t)= ...
A particle moves along the x-axis with its velocity at time t given by v(t)=bt^2-ct+8, where b and c are constants and b does not equal c. For which of the following values of t is the particle at constant velocity?( ) A. t= c(2b) B. t=2bc C. t= (2b)c D. t=2b...
A particle moves along the x-axis in such a way that its acceleration at time t for t≥q 0 is given by a(t)=4cos (2t). At time t=0, the velocity of the particle is v(0)=1 and its position is x(0)=0.Write an equation for the velocity v(t) of the particle. 相关知识点...
【题目】A particle moves along the x-axis in such a way that its acceleration at time t for t≥o is given by a(t)=4cos(2t) . At time t=0, the velocity ofthe particle is v(0)=1 and its position is (0)=0Write an equation for the velocity ot) of the particle. 相关知识点...
【题目】A particle moves along the x-axis so that, atany time t≥0 , its acceleration is given bya(t)=6t+6. At time t=o, the velocity of the particle is -s and its position is -27.Find o(t), the velocity of the particle at any time t. ...
5. A particle moves along the x-axis. At time t seconds, t 0, the velocity of the particle is3/2vms-1 in the direction of x increasing, where v = 2t- 6t + 2At time t= 0 the particle passes through the origin O. At the instant when the acceleration of the particle is z...
A particle moves along the x-axis so that its velocity at any time t≥q 0 is given by v(t)=3t^2-2t-1. The position x(t) is 5 for t=2. Write a polynomial expression for the position of the particle at any time t≥q 0. 相关知识点: 试题来源: 解析 x(t)=∫ v(t)=∫...