High School Physics homework. Just zoom in to see it. An object moves according

Question

High School Physics homework. Just zoom in to see it.

An object moves according to the graph to the right. What is the displacement from the 2 to 4 second points? 3 m 6 m 18 m 24 m 48 m How far does it move during the 4 to 7 second points? 0 m 18 m 24 m 36 m 84 m What direction is it going from the 7 to 8 second points? Positive Direction Negative Direction Stopped Cannot tell from the graph Which sentence accurately describes the motion of the object from the 7 to 8 second points? The object is moving with a constant, non-zero acceleration The object is moving with a uniformly decreasing acceleration The object is moving with a uniformly increasing velocity The object is moving at a constant velocity in the negative direction The object is not moving at all

Explanation / Answer

a)

acceleration for 2 to 4 sec

a = dv/dt = (12 - 0)/4 = 3 m/s^2

now using equation

v^2 = u^2 + 2*s*d

d = ((12)^2 - (6)^2)/(2*3) = 18 m

b)

for 4 to 7 sec velocity is constant and v = 12 m/s

so distance = 12*(7-4) = 36 m

c)

for 7 to 8 sec

velocity is decreasing but we cant tell the direction.

d)

for 7 to 8 sec

velocity is decreasing means acceleration is constant but value of acceleration is negative.

so [A] should be currect

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