Examples 7 A particle moves in a straight line with a constant acceleration of -4 ft/s2 for 6 s, zero acceleration for the next 4 s, and a constant acceleration of +4 ft/s2 for the next 4 s. Knowing that the particle starts from the origin and that its velocity is -8 ft/s during the zero-acceleration time interval, (a) construct the v-t and x-t curves for 0 sts 14 s, (b) determine the position and the velocity of the particle and the total distance traveled when t = 14 s. a (ft/s²) 4 6 0 -4 10 14 t(s) 12 22

queston: A particle moves in the x-y plane with an x-component of velocity in meter per second given by vx = 4√t, with t in seconds. The acceleration of the particle in the y-direction in meter per second squared is given by by ay = 4 e(t), with t in seconds. When t-4, y=10, x=4, and vy = 10, (a) Find the equation of the path of the particle and (b) calculate the magnitude of the velocity v of the particle for the instant when its y-coordinate reaches 20 m, and the angle which the velocity makes with the x-axis.

A particle moves along a straight Line with a velocity in (mm/s) given by V=400-16t² where it is in seconds. Calculate the net displacement AX and the total distance traveled during the first 6 seconds of motion.

4. Two particles, A and B, are moving in a straight line. Take this to be the r-axis. At t = 0, particle A is trailing particle B, initially at some distance z behind B. Particle B is accelerating at a constant 2.00 m/s² and particle A is constantly accelerating at 3.00 m/s². Particle A was able to overtake B after B has moved 50.0 m. (a) How long does it take for particle A to overtake B? (b) Initially, how far was A behind B? (c) How fast are the two particles moving as soon as they're at the same position?

A motorcyclist starting from rest travels along a straight road and for 9 s has an acceleration as shown in Figure Q1(b). (b) (i) Draw the v-t graph that describes the motion. (ii) Calculate the distance travelled, Sr, in t = 9 s. a (m/s³) 6 a =? 9 (s) - Figure Q1 (b)

Q No 1:  The position of a particle moving along the x-axis is given by x=A+B t3,              where A=9.75 cm and B=1.50cm/s3.consider the time interval t=2 to t=3s and             calculate (a).the average velocity; (b).the instantaneous velocity at t=2s;(c). the             instantaneous velocity at t=3s;(d). the instantaneous velocity at t=2.5s;(e). the             instantaneous velocity when the particle is midway between its positions at t=2s             and t=3s.

Please answer below question

please answer number 2. KINEMATICS OF A PARTICLE: please give detailed solutions and correct answers. I will report to bartleby thos tutors who will give incorrect answers.

The velocity V of a particle moving in the xy plane is given by V = (5.5t - 4.2t2) i + 8.7 j, with V in meters per second and t (> 0) in seconds. At t = 1.9 s and in unit- vector notation, what are (a) the x component and (b) the y component of the acceleration? (c) When (if ever) is the acceleration zero? (d) At what positive time does the speed equal 10 m/s?

A particle starts from rest at x = -2.5 m and moves along the x-axis with the velocity history shown. Plot the corresponding acceleration and the displacement histories for the 3.2 seconds. Find the time t when the particle crosses the origin. After you have the plots, answer the questions. 3.8 3.2 0.8 1.6 2.4 1.2 Questions Att-0.53 183 m, 2.52 /s, 4,75 m/s? S. At t-0.99 0.258 m/s, m/s X- m. V= 3.8 5. At t=2.83 m. v= m/s, a- m/s2 S. The particle will cross the origin when t Assistance Used