When divided by △t, (vf - vi) is used to determine which characteristic? A.Speed B.Direction C. Displacement D.Acceleration
1 answer:
Answer:
D.Acceleration
Explanation:
The acceleration of an object is defined as:
where
vf is the final velocity of the object
vi is the initial velocity of the object
is the time taken for the change in velocity to occur
Therefore, from the formula, we see that if we divide (vf - vi) by △t, we get the acceleration.
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Answer: It takes 2.85 seconds.
Explanation: according to the question, the kinematics equation for vertical motion is
y₀ is the initial postion and equals 0 because it is fired at ground level;
v₀ is the initial speed and eqauls 14m/s;
g is gravity and it is 9.8m/s²;
y(t) is the final position and equals 0 because it is when the pumpkin hits the ground;
Rewriting the equation, we have:
0 + 14t - = 0
14t - 4.9t² = 0
t(14 - 4.9t) = 0
For this equation to be zero,
t = 0 or
14 - 4.9t = 0
- 4.9t = - 14
t =
t = 2.86
It takes 2.86 seconds for the pumpkin to hit the ground.
The work done by a system kept at constant pressure is given by:
where
p is the pressure
is the final volume
is the initial volume
If we plug the numbers given by the problem into this equation, we find
And since
, we have that the work done is
where
p is the pressure
If we plug the numbers given by the problem into this equation, we find
And since