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 9. When you substitute t=1 and x(t)...
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: ...
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 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 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)= ...
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...
Q. Then the distance travelled (in meters) by the particle from time t = 0 to t = t will be : View Solution A particle moves along the X-axis asx=u(t−2s)=at(t−2)2. View Solution A particle moves along x-axis asx=4(t−2)+a(t−2)2 ...
A particle moves along the x-axis at a velocity of v(t)= 1(√ t), for t>0. At time t=1
CThe particle is at origin at t = 0 DNone of theseSubmit A particle moves along the X-axis as x=u(t−2s)=at(t−2)2. Ahave a displacement of 50 m Bcover a distance of 40 m in reaching the ground Creach the ground in 4s Dbegin to move down after being releasedSubmit A ...