The acceleration of a particle in rectilinear motion is known to satisfy the relation
a = x+5 (x: ft, a: ft/s2)
where x is its position. Knowing that x = 3 ft and v = 8 ft/s when t = 0, find x and v when t = 0.5 s
The acceleration of a particle in rectilinear motion is known to satisfy the relation a =...
7. (2.5 pts) The position of a particle in rectilinear motion is given by x = 4t3 - 5t2 + 7 (where x is in m). What is the acceleration of the particle at t = 2s?
2) The magnitude of the acceleration of an object moving in rectilinear motion is a=12 sn, where a is in m/s' and s is the distance of the point from the origin in meters. When the time t is 2 seconds, the point is 16m to the right of the origin and has a velocity of 32m/s to the right and an acceleration of 48m/s to the right. Determine: a) the velocity and acceleration of the particle when time is...
1. The velocity of a particle in rectilinear motion varies with displacement x according to the relation x=bx- 3 where b is a positive constant. Find the force acting on the particle as a function of x. . dx dx
A particle moves according to a law of motion s = ft), t 0, where t is measured in seconds and s in feet. t)-te-t2 (a) Find the velocity at time t (in ft/s) v(t) e (b) What is the velocity after 2 s? (Round your answer to two decimal places.) v(2) ft/s (c) When is the particle at rest? (d) When is the particle moving in the positive direction? (Enter your answer using interval notation.) (e) Find the total...
to attemp Prob 1 A 4-1b particle in rectilinear motion has already attained an initial speed of 5 ft/sec before it that varies as shown. Determine and the max imum speed is acted on by a net force its speed at the end of 2 secs F parabrla t (s) 3 2 to attemp Prob 1 A 4-1b particle in rectilinear motion has already attained an initial speed of 5 ft/sec before it that varies as shown. Determine and the...
2) A particle moves in the x-y plane. Known information about the particle’s motion is given below: ???? = 150?? ft/sec. and at time t = 0, x = 6 ft ?? =5??3+50?? ft a) Derive, as functions of time, the position (x), acceleration (ax), velocity (vy), and acceleration (ay). b) Using your functions, calculate, at time t = 0.25 seconds, the total magnitude of velocity ?? of the particle and the angle ????the velocity vector makes with the x-axis....
The acceleration of a particle is defined by the relation formula474.mml, where k is a constant. Know that x = 0 and v = 81 m/s at t = 0 and that v = 41 m/s when x = 28 m. (a.) Determine the velocity of the particle when x = 20 m. (Round the final answer to one decimal place.) The velocity of the particle is m/s. (b.) Determine the time required for the particle to come to rest....
A particle moving along the x axis in simple harmonic motion starts from its equilibrium position, the origin, at t = 0 and moves to the right. The amplitude of its motion is 3.50cm, and the frequency is 2.30 Hz. (a) Find an expression for the position of the particle as a function of time. (Use the following as necessary: t. Assume that x is in centimeters and t is in seconds. Do not include units in your answer.) x...
Need both answered please! 1. A particle moves with acceleration function a(t) = 8t + 5. Its initial velocity is v(O) = -4 cm/s and its initial displacement is s(0) = 5. Find its position after t seconds. s 2. The equation of motion of a particle is S = t3 - 9t, where s in meters, and t is in seconds. Find a) The velocity and acceleration as a function oft b) The acceleration after 4 seconds.
5:16 lLTE ) Done 1 of 5 Assessment #1 (Kinematics of a Particle) Rectilinear Motion (Straight linc Motion 3. The position of a point during the interval of time from r otor 6 is given by ** * m. (a) What is the maximum velocity during this interval of time, and at what time does it occur? (b) What is the acceleration when the velocity is a maximum? (20 m/s, 0 m/s 3. A test projectile is fired horizontally into...