A particle moves on a plane such that its position at time t s is given byr=(3t-2)i+(4t-2t^2)j ma Write expressions for the velocity and acceleration of the particle at time t.b Work out the initial speed of the particle.c At what time (s) is the particle moving parallel to...
A particle moves along a straight line. The graph of the particle's velocity v(t) at time t is shown above for 0≤q t≤q m, where j, k, l, and m are constants. The graph intersects the horizontal axis at t=0, t=k and t=m and has horizontal tangents at t=j and t=l. ...
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 ...
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 P moves with constant angular speed ω around a circle whose center is at the origin and whose radius is R. The particle is said to be in uniform circular motion. Assume that the motion is counterclockwise and that the particle is at the point (R,0) when t=0. The position...
【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 P moves along the x-axis. At time / = 0. P passes through the origin moving in the positive x direction. At time r seconds, the velocity of P is vm s-' and OP = x metres. The acceleration of P is(25 - x)Given that the maximum speed of Pis 12 m s...
A particle moves along the -axis so that at any time , its position is given by . What is the speed of the particle at ? ( ) A. B. C. D. 相关知识点: 试题来源: 解析DSpeed is the absolute value of the velocity. Velocity is the first derivative of the position function. ...
结果1 题目 A particle moves along the -axis so that its velocity at any time is given by . At time , the position of the particle is .Write an expression for the position of the particle. 相关知识点: 试题来源: 解析 ; 反馈 收藏 ...
【题目】At time, a particle moves in a straight horizontal line from a point O, then returns to thestarting point. T he distance, 5metres, from thepoint O at time t seconds is given by:s=3t^2-t^3 , 0≤t≤TGiven that the model is valid when s≥0 , findthe value of T. ...