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Wittaler [7]
3 years ago
12

3.A ball is thrown into the air with an initial velocity of 15 m/s. a.How long does it take the ball to reach maximum height?b.W

hat is the maximum height that the ball reaches?c.What is the ball’s velocity at its maximum height?d.How long does it take for the ball to return to its initial height?
Computers and Technology
1 answer:
ehidna [41]3 years ago
3 0

Answer:  a) = 1.5 sec.  b= 11.5 m. c=0  d= 1.5 sec.

Explanation:

a) Once thrown into the air , the only influence on the ball is gravity, so, we can conclude that the acceleration acting on the ball is the one due to gravity, i.e., g= 9.8 m/sec².

Applying the definition of acceleration, we can write the following equation:

a= (vf-vo) / t   ⇒ g = vf-vo / t. (1)

Now, when the ball reaches to his maximum height, it stops momentarily, and then starts to fall, so for this height, we can write vf=0.

Replacing  in (1), and solving for t, we get:

t = (0 -vo) / g = -15 m/s/ - 9.8 m/sec² (Taking upward as positive  direction)

a) t= 1.5 sec.

Replacing this value in the kinematic equation for displacement, when vo=15 m/s, we get:

hmax: 15 m/sec . 1.5 sec -1/2. 9.8 m/sec². (1.5 sec) ² (2)

b) hmax= 11.5 m

c) vf= 0 (as explained above)

Finally, in order to know how long the ball takes to return to its initial height, we know that for the falling part of the trajectory, vo=0, so we can write the equation for displacement as follows:

h=-hmax (because it returns to the same starting point)= 1/2 gt²=-11.5 m

Solving for t, we get:

d) t=1.5 sec.

It can be seen that the time used in going up, it is the same for going down, to travel the same distance.

This result is completely general and applies to any free fall problem.

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2.36 LAB: Warm up: Variables, input, and casting (1) Prompt the user to input an integer, a double, a character, and a string, s
Westkost [7]

Answer:

The entire program is:

#include <iostream>

using namespace std;

  int main() {          

  int userInt;

  double userDouble;

  char userChar;

  string userString;  

  cout<<"Enter integer:"<<endl;

  cin>>userInt;  

  cout<<"Enter double:"<<endl;

  cin>>userDouble;  

  cout<<"Enter character:"<<endl;

  cin>>userChar;  

  cout<<"Enter string:"<<endl;

  cin>>userString;    

 cout<<userInt<<" "<<userDouble<<" "<<userChar<<" "<<userString<<endl;

 cout<<endl;  

   cout<<userInt<<" "<<userDouble<<" "<<userChar<<" "<<userString<<endl<<userString<<" "<<userChar<<" "<<userDouble<<" "<<userInt<<endl;  

cout<<endl;

cout<<userInt<<" "<<userDouble<<" "<<userChar<<" "<<userString<<endl<<userString<<" "<<userChar<<" "<<userDouble<<" "<<userInt<<endl<<userDouble<<" cast to an integer is "<<(int)userDouble;  

  return 0;  }

The program in C language:

#include <stdio.h>  

int main() {

  int userInt;  

  double userDouble;  

  char userChar;  

  char userString[50];

  printf("Enter integer: \n");  

  scanf("%d", &userInt);

  printf("Enter double: \n");  

  scanf("%lf", &userDouble);

  printf("Enter character: \n");  

  scanf(" %c", &userChar);  

  printf("Enter string: \n");  

  scanf("%s", userString);  

  printf("%d %lf %c %s\n", userInt, userDouble, userChar, userString);

  printf("\n");

  printf("%d %lf %c %s\n%s %c %lf %d \n", userInt, userDouble, userChar, userString, userString, userChar, userDouble, userInt);

  printf("\n");

  printf("%d %lf %c %s\n%s %c %lf %d\n%lf cast to an integer is %d \n", userInt, userDouble, userChar, userString, userString, userChar, userDouble, userInt, userDouble, (int)userDouble);  }

Explanation:

Lets do the program step by step:

1)  Prompt the user to input an integer, a double, a character, and a string, storing each into separate variables. Then, output those four values on a single line separated by a space:

Solution:

The program is:

#include <iostream>  //to use input output functions

using namespace std;  //to identify objects cin cout

  int main() {  //start of main method

  //declare an integer, a double, a character and a string variable  

  int userInt;  //int type variable to store integer

  double userDouble;  //double type variable to store double precision floating point number

  char userChar;  //char type variable to store character

  string userString;  //string type variable to store a string

  cout<<"Enter integer:"<<endl;  //prompts user to enter an integer

  cin>>userInt;  //reads the input integer and store it to userInt variable

  cout<<"Enter double:"<<endl;  //prompts user to enter a double type value

  cin>>userDouble;  //reads the input double value and store it to userDouble variable

  cout<<"Enter character:"<<endl;  //prompts user to enter a character

 cin>>userChar; //reads the input character and store it to userChar variable

  cout<<"Enter string:"<<endl;  //prompts user to enter a string

  cin>>userString; //reads the input string and store it to userString variable

   

cout<<userInt<<" "<<userDouble<<" "<<userChar<<" "<<userString<<endl; //output the values on a single line separated by space

So the output of the entire program is:

Enter integer:                                                                                                                                99                                                                                                                                            Enter double:                                                                                                                                 3.77                                                                                                                                          Enter character:                                                                                                                              z                                                                                                                                             Enter string:                                                                                                                                 Howdy                                                                                                                                         99 3.77 z Howdy

(2) Extend to also output in reverse.

Now the above code remains the same but add this output (cout) statement at the end:

  cout<<userString<<" "<<userChar<<" "<<userDouble<<" "<<userInt;

Now the output with the same values given as input is:

Enter integer:                                                                                                                                  99                                                                                                                                              Enter double:                                                                                                                                   3.77                                                                                                                                            Enter character:                                                                                                                                z                                                                                                                                               Enter string:                                                                                                                                   Howdy  

99 3.77 z Howdy                                                                                                                                     Howdy z 3.77 99

(3) Extend to cast the double to an integer, and output that integer.

The rest of the code remains the same but add the following output (cout) statement in the end:

cout<<userDouble<<" cast to an integer is "<<(int)userDouble;

Now the output with the same values given as input is:

Enter integer:                                                                                                                                  99                                                                                                                                              Enter double:                                                                                                                                   3.77                                                                                                                                            Enter character:                                                                                                                                z                                                                                                                                               Enter string:                                                                                                                                   Howdy                                                                                                                                           99 3.77 z Howdy                                                                                                                                 Howdy z 3.77 99                                                                                                                                 3.77 cast to an integer is 3  

3 0
3 years ago
In how many ways can a list of students names from your class be organized?​
Ostrovityanka [42]

Answer:

It can be expressed in 2 ways horizontal and vertical ways.

make sure to follow me and mark me as the brainliest

3 0
3 years ago
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