Problem 1: The plot show x position vs time of a mass on a spring. Acceleration between t = 2 and 4 sec is positive. Why? From 2 to 3 sec, what is acceleration? From 3 to 4 seconds, what is the acceleration?

Problem 2: Position of a car is r(t) = ((v_x)(t-3))i-hat - (r_y)j-hat - (a_z)t^2(k-hat), where v_x = 4,/s. r_y = 1.5m, and a_z = 3m/s^2. At what time is the speed equal to 5m/s?

Solution:
To solve this kind of problem, we should begin with deriving the equation of motion from graph. It is obvious that the graph is sinusoidal with phase = 0 with a general form,

x Asin(Bwt)

where A and B are constant. ...

Solution Summary

This solution includes graphs, equations, calculations and an explanation in an attached word document. This is all completed in 645 words.

... run a simulation of a ball dropping and measure the displacement, velocity and acceleration. ... s on Time of fall in s on Velocity of fall v Velocity of fall ...

...graph is for understanding the concepts of variable velocity, uniform velocity, uniform acceleration, negative acceleration, displacement and average velocity...

... You are required to find acceleration of the car at different moments of time and its displacement. (a) Velocity at 2,4,8, and 10s respectively are 30, 60 ...

... Answers: Slope of Displacement Time graph gives velocity. ...Velocity at t = 3 sec v = 0. Acceleration (slope of the v t graph) = tanθ = - 12/3 = - 4 m/s2 ...

... this as (v_1 + v_2)/2 where v_1 and v_2 are the initial and final instantaneous velocities. ... As the average velocity is the displacement / time interval, the ...

... c) 4 revolutions is equal to an angular displacement θ = 4 x ... A and B just after impact/Relative velocity of A ... 1 sinθ) where vA and vB are velocities of A ...

... double the maximum velocity calculated in (ii) using the same spring and initial deflection. (b) Plot a graph of acceleration against displacement (x) (for ...

...Velocity is the displacement over time. ... 13cm barrel, then leaves the barrel at 300m/s. The average velocity would be the average of all velocities while it ...

... to velocity-time, displacement-time and acceleration-time, graphs are explained. 5. Here we show several graphs of position as functions of time. Each graph is ...