When the projectile is at its maximum height above ground, it's at the point
of changing from rising to falling. At that exact point, its vertical speed is zero,
so the 14 m/s must be all horizontal velocity. That's not going to change.
Since we need to consider changes in vertical speed now, we need to make
some assumption about where this is all happening, so that we know the
acceleration of gravity. I'll assume that it's all happening on or near the Earth,
and the acceleration of gravity is 9.8 m/s².
I'm also going to neglect air resistance.
a). 1.2 sec before it reaches its maximum height, the projectile is rising
at a vertical speed of (1.2 x 9.8) = 11.76 m/s.
The magnitude of its velocity is
the square root of (14² + 11.76²) = 18.28 m/s, directed about 40° above horizontal.
b). 1.2 sec after it reaches its maximum height, the projectile is falling
at a vertical speed of (1.2 x 9.8) = 11.76 m/s.
The magnitude of its velocity is
the square root of (14² + 11.76²) = 18.28 m/s, directed about 40° below horizontal.
===========================
In 1.2 second before or after zero vertical speed, an object in free fall moves
(1/2) (g) (t²) = (4.9) (1.2²) = 7.06 meters .
c). & d).
1.2 seconds before it reaches maximum height, the projectile is located at
x = -14 m
y = -7.06 m
e). & f).
1.2 seconds after it reaches maximum height, the projectile is located at
x = +14 m
y = -7.06 m .
I hope you recognize that 6 answers, plus a little bit of explanation,
all for 5 points, ain't too shabby. You made out well.
Answer:
manufacturing cost = $16.5 q₂ + $1 q₁ - $ 5
Explanation:
given,
one unit price of first good is = $ 1000
one unit price of second good is = $ 16500
quantity of the first good = q₁
quantity of the second good = q₂
total cost to the manufacturer = $ 5000
revenue from good one = $1000 q₁
revenue from second good = $16500 q₂
manufacturing cost = total revenue - total manufacturing cost
manufacturing cost = $16500 q₂ + $1000 q₁ - $ 5000
but in the question we have to answer in thousands of dollar
so, divide the result by 1000
manufacturing cost = $16.5 q₂ + $1 q₁ - $ 5
Answer:
-2000 N
Explanation:
To solve the problem, we can use the impulse theorem, which states that the impulse is equal to the change in momentum of the car:
where
F is the average breaking force
is the stopping time
m = 1000 kg is the mass of the car
is the change in velocity of the car
Solving the equation for F,
I would say D. all of the above
