Ans:- t = (v-vo)/a .
QUESTION 1 A formula relating acceleration a, velocity v, initial velocity Vo, and time is v...
The acceleration function (in m/s2) and the initial velocity v(o) are given for a particle moving along a line. a(t) = 2t + 2, VO) = -15, Osts 5 (a) Find the velocity at time t. v(t) = m/s (b) Find the distance traveled during the given time interval.
The initial velocity and acceleration of four moving objects at a given instant in time are given in the following table. Determine the final speed of each of the objects, assuming that the time elapsed since t = 0 s is 2.1 s. Question 4 Your answer is partially correct. Try again The initial velocity and acceleration of four moving objects at a given instant in time are given in the following table. Determine the final speed of each of...
A rocket with an initial velocity vo turns on its boosters so that its acceleration becomes a(t)= p2t2-k2, where k and p are positive constants with appropriate units. Find an expression for the maximum velocity of the rocket after t = 0.
The initial velocity and acceleration of four moving objects at a given instant in time are given in the following table. Determine the final speed of each of the objects, assuming that the time elapsed since t0 s is 2.5 s Initial velocity vo Acceleration a +3.1 2.9 +2.9 2.5 (b) +10 (a) Final speed 37.75 (b) Final speed 3.24 (c) Final speed-3.75 (d) Final speed1725
A particle leaves the origin with an initial velocity of v-([vO])i m/s where vO-8.25 and a constant acceleration a = (-[az])i + (-lay)j m/s2, where ax-1.89 and ay-258. When the particle reaches its maximum x coordinate, how far (in m) is it from the origin?
I. A projectile is launched from point A with an initial velocity of vo and an elevation angle θ as shown. The air resistance is neglected and gravitational acceleration is constant. a) Show that the equation of the path is y-2v zg+x tan θ, where g is the gravitational 2 2v6cos20 acceleration b) Determine the radius of curvature of the path in terms of the time t using n-t coordinate system c) For Vo-10 m/s and θ-40°, plot the radius...
Suppose the initial velocity of a particle is given by v(O)=(-1,0,0) and the acceleration is given by a(t)=2cos 2t i-2 sin 2t j+2tk. (1) Find the velocity vector function, v(t). (3 Marks) Find the scalar normal component of acceleration, at trī. (7 Marks)
1. Analog Computing. Consider an object thrown straight upward with an initial vertical velocity vo from an initial height h(0) 0 We will use the circuit below to do an analog calculation of thc altitude as a function of time. vout (t) = klh(t) Vo is fixed at Vo = kovo, where vo is the initial upward velocity. All Rs are equal and all Cs are equal. Assume all capacitors are initially discharged. (a) Write an expression for the output...
C.For time, displacement, velocity, and acceleration the overall dimensions are as follows: ILI IL] d → [L] v mensions imensions [T]2 dimensions For each of the following equations of motion, analyze the dimensions of each term in the equations. Note that the subscripts only indicate a difference between initial and final values (i.e. v and vo both are still just velocities in terms of dimensions). Please show your work. v= vo + at v Voat LI,L,LtT] (which is again Ti)...
Assume that a softball is thrown straight up with an initial velocity: v=vo experiences a drag force due to air resistance given by: Farag = - bv a. Use F = ma to show that the appropriate differential equation is given by: mat= -mg - kmy [where k = 1 b. Show by direct substitution that: v(t) = -9 + [kvote-kt sat isfies the differential equation. C. Assuming the ball is thrown straight up with velocity v = vo, find...