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 ...
A point moves along the x-axis so that, at time t, its displacement from the origin is given by x=Asin ω t, where A and ω are constants. Prove that if, at time t, the velocity is ν and the acceleration is a, then (a) ν ^2\ =ω ^2(A^2-x^2), (b) a=-ω ^2x,...
A proton moves along the x-axis with vₓ = 1.0 x 10⁷ m/s.. As it passes the origin, what are the strength and direction of the magnetic field at the (x, y, z) positions (a) (1 cm, 0 cm, 0 cm), (b) (0 cm, 1 cm, 0 cm), a...
An object moves along the x axis according to the equation x(t) = (2.70t2 - 2.00t + 3.00) m.(a) Determine the average speed between t = 1.70 s and t = 2.90 s.(b) Determine the instantaneous speed at t = 1.70 s and at t = 2.90 s.(c) Determine the aver
1 . A train car moves along a long straight track. The graph (曲线) shows the position as a function of time for this train. The graph shows that A . slows down all the time B . speeds up a
This is an example of exponential decay and is asymptotic with the x-axis. Therefore, the only solution is t=0.251 . (A) is the position at time t=0 , which is not when the particle is at rest. The particle is at rest when v(t)=0....
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...
1 . A train car moves along a long straight track. The graph (曲线) shows the position as a function of time for this train. The graph shows that A . slows down all the time B . speeds up a
1.A train car moves along a long straight track. The graph(曲线)shows the position as a function of time for this train. The graph shows that A.slows down all the time B.speeds up all the time C.speeds up part of the time and slows down part of the time ...
A particle moves along thex-axis so that at any timet≥0,v(t)=ln(t+1)-2t+1.The total distance traveled byt=2is a)-0.704 b)0.704 c)1.540 d)2.667 e)2.901