PLEASE HELP ME DUE NOW!

The distance traveled, in feet, of a ball dropped from a tall building is modeled by the equation d(t) = 16t2 where d equals the

Ainat [17]

When t=2, the ball has fallen   d(2) = 16 (2²) = 64 feet .

When t=5, the ball has fallen   d(5) = 16 (5²) = 400 feet .

Distance fallen from t=2 until t=5 is (400 - 64) = 336 feet.

Time period between t=2 until t=5 is (5 - 2) = 3 seconds.

Average speed of the ball from t=2 until t=5 is

   (distance covered) / (time to cover the distance)

   =    336 feet    /    3 seconds = 112 feet per second.

That's what choice-C says.

6 0

3 years ago

A series circuit has a capacitor of 0.25 × 10⁻⁶ F, a resistor of 5 × 10³ Ω, and an inductor of 1H. The initial charge on the cap

viktelen [127]

Answer:

$q = (3 + e^{-4000 t} - 4 e^{-1000 t})\times 10^{-6}$

at t = 0.001 we have

$q = 1.55 \times 10^{-6} C$

at t = 0.01

$q = 2.99 \times 10^{-6} C$

at t = infinity

$q = 3 \times 10^{-6} C$

Explanation:

As we know that they are in series so the voltage across all three will be sum of all individual voltages

so it is given as

$V_r + V_L + V_c = V_{net}$

now we will have

$iR + L\frac{di}{dt} + \frac{q}{C} = 12 V$

now we have

$1\frac{d^2q}{dt^2} + (5 \times 10^3) \frac{dq}{dt} + \frac{q}{0.25 \times 10^{-6}} = 12$

So we will have

$q = 3\times 10^{-6} + c_1 e^{-4000 t} + c_2 e^{-1000 t}$

at t = 0 we have

q = 0

$0 = 3\times 10^{-6} + c_1 + c_2$

also we know that

at t = 0 i = 0

$0 = -4000 c_1 - 1000c_2$

$c_2 = -4c_1$

$c_1 = 1 \times 10^{-6}$

$c_2 = -4 \times 10^{-6}$

so we have

$q = (3 + e^{-4000 t} - 4 e^{-1000 t})\times 10^{-6}$

at t = 0.001 we have

$q = 1.55 \times 10^{-6} C$

at t = 0.01

$q = 2.99 \times 10^{-6} C$

at t = infinity

$q = 3 \times 10^{-6} C$

5 0

3 years ago

A carrot hangs from the ceiling by a rope,

valentina_108 [34]

Answer: Diagram B

Explanation:

A free body diagram shows the forces acting on an object in a certain scenario.

In this scenario there are two forces acting on the carrot: the Tension force (Ft) from the rope that the carrot is hanging from and Gravitational force(Fg) which is pulling the carrot to the Earth.

The diagram depicting this is diagram B.

7 0

3 years ago

Read 2 more answers

What were formed after the big bang theory?

tatuchka [14]

Answer:

neutrons protons electrons

Explanation:

after the Big Bang, the universe was filled with neutrons, protons, electrons, anti-electrons, photons and neutrinos.

4 0

3 years ago

A hovering mosquito is hit by a raindrop that is 45 times as massive and falling at 8.2 m/s , a typical raindrop speed. How fast

netineya [11]

Answer:

The speed of the raindrop and the mosquito is 8.02 m/s.

Explanation:

mass of mosquito = m

mass of drop = 45 m

initial velocity of mosquito, u = 0 m/s

initial velocity of drop, u' = 8.2 m/s

During the inelastic collision, the momentum of the system is conserved.

Let the speed of rain drop and the mosquito is v.

Use the conservation of momentum

m x u + 45 m x u' = (m + 45 m) v

m x 0 + 45 m x 8.2 = 46 m x v

v = 8.02 m/s

7 0

3 years ago