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: ...
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 9. When you substitute t=1 and x(t)=9 into the position function, the constant C equals -15. The question is asking for v(0). Because ...
结果1 题目 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 ...
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^(...
结果1 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 at a velocity of v(t)= 1(√ t), for t>0. At time t=1
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...
结果1 题目 A particle P moves along the x-axis in the direction of x increasing. At time r seconds, the velocityof Pis vms-! and its acceleration is 20re-'ms-2. When t= 0 the velocity of P is 8ms-1. Find:v in terms of t 相关知识点: 试题来源: 解析 v=18-10e^(-t^...
结果1 题目A particle starts at time t=0 and moves along the x-axis so that its position, in feet, at any time t≥q 0 is given by x(t)=t^3+3t^2-9t+5 , where t is measured in secondsMake sure to include the proper units in your answersFind the velocity of the particle at...
结果1 题目 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...