A particle starts from rest and travels along a straight line with an acceleration, a = (30 – 0.2v) ft/s² where v is in ft/s. Determine the time when the velocity of the particle is v = 30ft/s.

An object's position in the  as a function of time obeys the equation;  x(t) = 14.2/t2.17 + 5.1t3 where all constants have proper SI Units. What is the speed of the object in the x direction at t = 1.93 seconds?

A particle starts at the origin (x = 0) and moves in one dimension. The figure shows the velocity of the particle as a function of time. During whic range of times is the particle moving towards the origin? 8. 4 12 16 Time (s) Velocity (ms) 4.

Any assistance with this physics problem would be great!

A rocket in free space generates a constant acceleration of (+8x^)[ms2](+8x^)[ms2]. If at t1=4t1=4 [s] the rocket has a velocity of v⃗ 1=−5x^v→1=−5x^ [m/s], what is the rocket's displacement between  t1t1 and t2=8t2=8 seconds? Select one: A.−20 [m] B. +256 [m] C. None of these are correct OR there is not enough information D.+472 [m] E.+44 [m] F.+216 [m] G.+59 [m] H.+27 [m] I. +21 [m] J. +108 [m] K.−40 [m] L.+64 [m]

An object's position as a function of time in one dimension is given by the expression; 3.89t2 + 2.22t + 7.48 where are constants have proper SI Units. What is the object's average velocity between the times t = 3.16 s and t = 8.38 s? with everything in 3 sig figs

An electron is moving in a straight line with a initial speed of3E5 m/s. It then undergoes an accelerates 8E14m/ s. How long will it take to reach a speed of 5.4E 5m/s?

The acceleration of a particle is a constant. At t=0 the velocity of the particle is (14.91 + 18.4ĵ) m/s. At t = 4.6 s the velocity is 11.4j m/s. (Use the following as necessary: t. Do not include units in your answers.) (a) What is the particle's acceleration (in m/s²)? = î+ 18.4 v(t) = (b) How do the position (in m) and velocity (in m/s) vary with time? Assume the particle is initially at the origin. r(t) = î+ X Î- i) m/s m/s

In the velocity formula, v(t) = 3Nt+C  what is the value of the acceleration?

The acceleration of an object (in m/s2) is given by the function a(t)=8sin(t)a(t)=8sin(t). The initial velocity of the object is v(0)=−10v(0)=-10 m/s. Round your answers to four decimal places.a) Find an equation v(t) for the object velocity.v(t)v(t) = −8cos(t)−2Correct  b) Find the object's displacement (in meters) from time 0 to time 3.3.4187Incorrect   metersc) Find the total distance traveled by the object from time 0 to time 3.   meters