The following graph is a representation of the motion of an object. (a) What is

Question

The following graph is a representation of the motion of an object.

(a) What is the slope of the v(t) graph?

slope =  m/s2

(b) What is the acceleration of the object?
a =  m/s2

(c) What is the initial velocity?

vi =  m/s

(d) Write down the equation x(t) for motion shown on the graph considering that the object is located at 0 m at the beginning of motion. (Assume x is in m and t is in s. Do not enter units in your expression. Use the numeric values you submitted for parts (b) and (c), the only variable you should use is t.)

x(t) =

Explanation / Answer

a) Graph passes through (0,5) and (10,25),

so the slope = (25-5)/(10-0) = 2 m/s2

b) acceleration = slope of velocity vs time graph = 2 m/s2

c) Initial velocity = Velocity at time t = 0

= 5 m/sec

d) x(t) = ut +1/2*a*t2

= 5t + (1/2)*2*t2

x(t) = 5t + t2

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