A particle moves in a straight line from a point A to a point B with constant deceleration 1.5 m s2.The velocity of the particle at A is 8 ms-' and the velocity of the particle at B is 2 ms-'. Find:the velocity of the particle at C ...
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. ...
A particle moves in two dimensions under the influence of a central force determined by the potential V(γ)=αγp+βγq. Find the powers p and q which make it possible to achieve a spiral orbit of the form γ=cθ2, with c a constant.. 答案 −3;−2. The solution may be ob...
electric field strength = V m–1 [3] (c) An α-particle moves from A to B in the electric field in (b). Describe and explain how the change in the kinetic energy of the α-particle compares with that of the electron. Numerical values are not required. [3] [Total: 12] © ...
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 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...
Speed is the absolute value of the velocity. Velocity is the first derivative of the position function. When taking the derivative, remember to use the chain rule. x(t)=(sin (3t))^2 v(t)=6(sin (3t))(cos (3t)) Plug in t= (π )4. v( (π )4)=6(sin (3π )4)(cos (3...
A particle moves along a number line (not shown) for t≥q 0. Its position function is s(t), its velocity function is v(t), and its acceleration function is a(t). All are graphed with respect to time t in seconds. For the time interval when 1< t <2, the particle is ( ) ...
A particle moves in a horizontal plane under the action of a single force, F newtons. The unit vectors i and j are directed east and north respectively. At time t\ seconds, the position vector, r\ metres, of the particle is given by r=(t^3-3t^2+4) i+(4t+t^2) j(a) Find ...