A particle moves along the x-axis so that its velocity at time 0 < t < 18 is given by v(t), whose graph is shown in the figure below. The inflection points of the graph are marked with green circles. Find all intervals of time when the particle is moving to the right. -2 -1 8 76 + 3 2 - -1 -2 -3 -4 +4 95 % -5 -6 -7 -8 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19

The position-time graph that describes the motion of an object is given as in the figure below. if the values of a= 140.7m, b=229.2m and c=323.3m, Find the average velocity ( in units of m/s) over the time period [10, 30] seconds x(m) C 1(s) 10 20 30 40 Select one: A. 4.42 OB. 18.49 OC. 471 OD-5.90

The equation for the position of a particle for time (t>0) is given below. 7= (3.0tî – 1.0t°)m What is the particle's acceleration when t=7.0 s? O (3.07 – 12.0) m.s-2 O (- 42.0) m.s-2 O (-9.0) m.s? O (3.07 - 6.0) m.s2 O (- 30.07) m.s-2

What is the total distance covered by the puppy? Position vs. time of a puppy D A -6 -8 0 1 2 3 4 5 6 7 8 9 10 11 12 13 Time (s) a 4 m b 10 m 16 m 28 m 8. 4, Position (m)

3. Maisy, the bodacious Bernedoodle puppy, and Ollie, the hapless hamster are great math friends. Maisy wants to find the position function of a particle given that the velocity function is v(t) = 2tj + sin(t)k and the initial position is r(0) =i+j. Maisy says this means the constant of integration is (1,1,0), but Ollie warns her to be careful about using the initial position properly. Help Maisy find the correct position function.

Letter d and e only

A particle moves along a straight line so that s = 3t3 – 4t2. Find the time (in secs) to attain maximum positive speed.

Problem 3: Continue drawing the motion diagram below of an object in steady (constant velocity) traveling in the horizontal axis every 1 second, indicating the velocity vectors along the motion. t = 0 sec V t = 1 sec Problem 4: Continue drawing the motion diagram below of an object in a free-fall motion every 1 second, indicating the velocity vectors along the motion. v = 0 m/s V t = 0 sec t = 1 sec

Q1 For plane motion of particle , if the velocity along y-axis: Vy = 50 – 16 t and x = 100 – 4t? where v, is in meter per second, y is in meter and t is in second. if the motion starts from y = 0 when t 0. Find the path equation of the particle.

Please don't provide handwritten solution ....