Question6 State whether the acceleration is positive, negative, or zero for each

Question

Question6 State whether the acceleration is positive, negative, or zero for each of the position functions x() in the position versus time graphs below. Question7 a) A truck gets on the highway and the driver speeds up to the speed limit and then remains at that b) Plot acceleration vs. time. Consistency with the velocity plot is part of the grade. Label the impor c) A box falls off a truck driving on a road. So, the driver slows down, stops for a short time and then d) Plot the trucks velocity vs. time. Consistency with the position plot is part of the grade. speed. Plot velocity vs. time. Label the important events described above. tant events described above. reverses direction to backup toward the boxes and stops. Plot the trucks position vs. time. Question 8 Three Italian philosophers are debating a hypothesis of motion (similar to a story written by Galiled); when a sailor drops a stone from a tall mast (the tower) of a moving ship where will it fall. To best un- derstand what is happening they choose to ignore air resistance and focus only on these three factors; the ship moves on the sea toward the west at 10 m/s, the Earth rotates at 800 miles/hour to the East, and the stone falls at the rate of g. The three arguments are as follows. a. The first states it will fall at the base of the tower and will not deviate from its path forward or back- ward b. The second believes it will fall behind the tower, since the ship is moving forward c. The third argues it will fall toward the front of the ship due to the earth's rotation. Circle the statement you believe to be true and state your defense using your physics knowledge.

Explanation / Answer

the slope of velocity versus time curve is equal to the acceleration.

so when ever the slope becomes negative the acceleration can be treated as negative.

The slope of x versus t is the velocity

for case (a) the acceleration is zero because the velocity is constant

(b) the gradient of the curve seems to be changing with the time. As the gradient is increasing with time, the acceleration is positive

(c) the gradient is decreasing so negative acceleration

(d) the gradient is constant which means that the acceleration is zero.

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