WILL MARK BRAINLIEST

Sharon is jumping from an 18-foot diving board with an initial upward velocity of 4 ft/s. when sharon jumps, megan throws a beac

Alinara [238K]

It will take 1.08 seconds for the ball to reach Sharon after she jumps if the upward velocity of the ball is 16 ft/s from a height of 5 feet option third is correct.

<h3>What is the equation of motion?</h3>

It is defined as the equation by which we can find the motion of a physical particle with respect to time. It is the representation of physical entity movement in a mathematical function.

We have:

The height of the Sharon from the diving board = 18 feet

The initial upward velocity of the Sharon = 4 ft/s

The height of the Megan from the ground = 5 feet

The initial upward velocity of the beach ball = 16 ft/s

We know the equation of motion is given by:

$\rm h(t) = x + ut+\frac{1}{2} gt^2$

Put x = 18 feet and u = 4 ft/s in the above equation, we get:

$\rm h(t) = 18 + 4t+\frac{1}{2} \times9.8t^2$ ....(1) [g = 9.8 m/s²]

Put x = 5 feet and u = 16 ft/s in the equation of motion, we get:

$\rm h(t) = 5 + 16t+\frac{1}{2} \times9.8t^2$ ....(2)

Equate the equation (1) and equation (2), we get

$\rm 18 + 4t+\frac{1}{2} \times9.8t^2= 5 + 16t+\frac{1}{2} \times9.8t^2\\$

18 + 4t = 5 + 16t

12t = 13

t = 1.08 seconds

Thus, it will take 1.08 seconds for the ball to reach Sharon after she jumps if the upward velocity of the ball is 16 ft/s from a height of 5 feet.

Learn more about the equation of the motion here:

brainly.com/question/13514745

6 0

2 years ago

Which expressions are equivalent to 5(1/3x+7)-3(1/2x-4)? Select three options. (There’s a picture)

Otrada [13]

3rd option

Step-by-step explanation:

solve and simplify to find

7 0

3 years ago

Solve on the interval [0,2pi): 2cscx+5=1

pantera1 [17]

$x\in[0,\ 2\pi)\\\\2\csc x+5=1\ \ \ \ |-5\\\\2\csc x=-4\ \ \ \ |:2\\\\\csc x=-2\\\\\dfrac{1}{\sin x}=-2\to\sin x=-\dfrac{1}{2}\to x=-\dfrac{\pi}{6}+2k\pi\ \vee\ x=\dfrac{7\pi}{6}+2k\pi\\\\x\in[0,\ 2\pi)\to x=-\dfrac{\pi}{6}+2\pi=\dfrac{11\pi}{6}\ \vee\ x=\dfrac{7\pi}{6}\\\\Answer:\ \boxed{D.\ \dfrac{7\pi}{6},\ \dfrac{11\pi}{6}}}$

7 0

3 years ago

Read 2 more answers

If Chris has 2 times as many nickels as quarters and they have a combined value of 210 cents, how many of each coin does he have

BlackZzzverrR [31]

Im pretty sure she has 6 quarters and 12 nickels since it it twice as much.

$0.25 x 6 =150

$0.5 x 12 =60

total = 210

8 0

3 years ago

The rate at which a body cools also depends on its exposed surface area S. If S is a constant, then a modification of (2), given

padilas [110]

Answer:

76.25°

Step-by-step explanation:

The solution to the differential equation is an exponential curve with a horizontal asymptote at Tm. It passes through (0, 145) and (30, 95), so the equation can be written as ...

T = 80 +65((95-65)/(145-65))^(t/30)

T = 80 +65(3/8)^(t/30)

That is, the temperature difference is reduced to 3/8 of its original value in 30 minutes.

Since the coffee in cup B cools twice as fast, it will cool to the same temperature (95°) in 15 minutes. In the next 15 minutes, the temperature difference will be reduced to (3/8)^2 of the original 80°, so will be 11.25°. That is, the temperature of cup B will be ...

11.25° +65° = 76.25°

after 30 minutes.

8 0

3 years ago