(57 – 42) X-3 – 21<br><br> Help me out please

If a cannonball is shot directly upward with a velocity of 160 ft per second, its height above the ground after t seconds is gi

Contact [7]

Step-by-step explanation:

If a cannonball is shot directly upward with a velocity of 160 ft per second. Its height as a function of time is given by :

$h(t)=160t-16t^2$ .......(1)

t is in seconds

(a) Velocity is given by :

$v=\dfrac{dh}{dt}\\\\v=\dfrac{d(160t-16t^2)}{dt}\\\\v=(160-32t)\ ft/s$

Acceleration is given by :

$a=\dfrac{dv}{dt}\\\\a=\dfrac{d(160-32t)}{dt}\\\\a=-32\ ft/s^2$

(b) For maximum height put $\dfrac{dh}{dt}=0$

i.e.

$160-32t=0\\\\t=5\ s$

Put t = 5 s in equation (1). So,

$h(5)=160t-16t^2\\\\h(5)=160(5)-16(5)^2\\\\h(5)=400\ ft$

(c) When the ball reaches ground, its height is equal to 0. So,

h(t) = 0

$160t-16t^2=0\\\\t(160-16t)=0\\\\t=0,t=10\ s$

Hence, this is the required solution.

4 0

3 years ago

What is 0.65 as a fraction or mixed number in simplest form?

adell [148]

Answer:

13/20

Step-by-step explanation:

0.65 = 65/100

both are multiples of 5, so simplify:

65/100 = 13/20

-Chetan K

7 0

2 years ago

Read 2 more answers

Helpppppp! No links please, thank you!

sveta [45]

32, 60, 68

Hope this helps

4 0

2 years ago

Writing a System of Equations from Tables

ladessa [460]

Answer:

Step-by-step explanation:

$\\\begin{array}{|c|c|c||c|c|c|}x&y&\Delta y&x&y&\Delta y\\---&---&---&---&---&---\\0&-6&-1.5&0&6.1&-4\\1&-4.5&-1.5&1&6.1&-4\\2&-3&-1.5&2&-1.9&-4\\3&1.5&-1.5&3&-5.9&-4\\---&---&---&---&---&---\\\end {array}\\\\Tables\ representent\ lines\\\\First\ line: \ passing\ through\ (0,-6)\ and\ (2,-3)\:\\\\y+6=\dfrac{3} {2} (x-0) \ or\ y=\dfrac{3} {2} x-6\\\\\\Second \ line: \ passing\ through\ (0,6.1)\ and\ (1,2.1\:\\\\y-6.1=-4(x-0) \ or\ y=-4x+6.1\\\\Solution\ of\ the\ system\\\\$

$\Bigg\{\begin{array}{ccc}y&=&\dfrac{3}{2}x-6 \\y&=&-4x+6.1\\\end {array} \right.\\\\\\\Bigg\{\begin{array}{ccc}y&=&-4x+6.1\\\dfrac{3}{2}x-6&=&-4x+6.1 \\\end {array} \right.\\\\\\\Bigg\{\begin{array}{ccc}x&=&2.2\\y&=&-2.7 \\\end {array} \right.\\\\$

4 0

3 years ago

Eight male and eight female college students who have credit cards were surveyed and asked their total credit card debt. The res

Tatiana [17]

Answer:

Observational study.

Step-by-step explanation:

In an observational study, the data is calculated but there are no experiments to change anything.

In a designed experiment, an experiment is applied to a group of people and it's effects are studied.

In this problem, we have that:

Male and female college students give their total credit card debt. There are no experiments to change anything. So it is an observational study.

5 0

3 years ago

(57 – 42) X-3 – 21 Help me out please