Aparticle is constrained to move along a straight line through o.
it starts initially at d, which is a fixed distance from o in the positive direction& moves at a constant velocity of 4ms^-1 for 15 sec. until; it is 100m from o for a furhter 25 sec, after which it travels in the opposite direction for 20 sec.
the total distance is 180m.

how far from o does the particle stop?
how do i draw a velocity–time graph?
and what is the final displacement of the particle from its initial position?

In which of the following would the particles move most rapidly? a. ice at -20 °c b. water at 20 °c c. steam at 110 °c d. boiling water e. ice at 0 °c

Astudent throws a water balloon with speed v0 from a height h = 1.76 m at an angle θ = 21° above the horizontal toward a target on the ground. the target is located a horizontal distance d = 9.5 m from the student’s feet. assume that the balloon moves without air resistance. use a cartesian coordinate system with the origin at the balloon's initial position. (a) what is the position vector, rtarge t, that originates from the balloon's original position and terminates at the target? put this in terms of h and d, and represent it as a vector using i and j. (b) in terms of the variables in the problem, determine the time, t, after the launch it takes the balloon to reach the target. your answer should not include h. (c) create an expression for the balloon's vertical position as a function of time, y(t), in terms of t, vo, g, and θ. (d) determine the magnitude of the balloon's initial velocity, v0, in meters per second, by eliminating t from the previous two expressions.

If you let go of the notebook after lifting it, will it move? how?