Answer:
Option A is the correct answer.
Explanation:
The instantaneous acceleration = Change in velocity in velocity/Time taken
The slope of the graph should give instantaneous acceleration.
Slope of a graph = Change in value of Y -axis / Change in values of X -axis
Comparing both the equations
Change in value of Y -axis = Change in velocity in velocity
Change in values of X -axis = Time taken
So velocity values should be on the Y axis and Time values should be on the X axis.
Option A is the correct answer.
If all you need is the initial speed of the cork, you can solve this using only two of your given:
2.00 m.s upward and 6.60 m.s horizontally.
If you take in consideration the movement of the cork, you know that it was both going up and forward at the same time, this means that it was moving at a diagonal direction. Now you can solve this by using the Pythagorean theorem where:

Why? Because the vertical and the horizontal motion creates a movement that is diagonal, which when put in a free-body diagram, creates a right triangle.
Going back to your problem, when applying this, the diagonal of a right triangle is the hypotenuse, so this is what you are looking for. The horizontal and vertical motion will represent the other 2 sides of the triangle.
Now let's put that into your formula:


Where: Vx is your horizontal velocity
Vy is your vertical velocity
Vi is your initial velocity
Now let's put in your given:




So your initial velocity is 6.8964 m/s or 6.90 m/s
Answer:
a)10.28 Nm
b)9.93 Nm
Explanation:
Let g = 9.81m/s2. First we can calculate the weight of the trophy
W = mg = 1.6 * 9.81 = 15.696 N
(a) The torque is product of force and its moment arm
T = WL = 15.696 * 0.655 = 10.28 Nm
(b) Suppose his arm makes an angle of 15 degree with respect to the horizontal line. We can still calculate the arm length, or the horizontal distance from the trophy to the champion:

Again, torque is product of force and its moment arm

Answer: 10.75 m
Explanation:
Displacement is how far the dog is from its original position, so use addition
initial + displacement = final
2.50 + 8.25 = 10.75
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