Problem for Homework (100points. Total weight will be 20%)- Motion with constant acceleration. (a) A box with mass m 10 kg starts from rest and accelerate 30 s with constant acceleration under a constant force F =60N, and friction force F with a friction constant =0.3. After 30 s the force removed and after a some time t, under the action of friction force, box stops. (a)- Draw a free body diagram of the bady in first 30s. (b). Find frictional force F. acceleration a of the body until the end of 30s. (C) Till the end of 30s how long the body moved? (d). What is the final velocity of the body at the end of 30s? (e). After 30s the force is removed and the box decelerate(negative acceleration) under the action of frictional force. For this case draw the free body diagram of the box. (1)- Find the deceleration?(negative accelera- tion). (g)- After 30s Under the action of friction force how long the box moves, and how much time, t it takes? 1) Write a complete program that displays all the prime number between entered two integer numbers. Please, apply all check-conditions. 2) The two roots of a quadratic equation, for example, ax? + bx + c = 0 can be obtained using the following formula: -b + vb2 - 4ac 2a Here b2 - 4ac is called the discriminant of the quadratic equation. If it is positive, the equation has two real roots. If it is zero, the equation has one root. If it is negative, the equation has no real roots. Write a program that prompts the user to enter values for a, b, and c and displays the result based on the discriminant. If the discriminant is positive, display two roots. If the discriminant is 0, display one root. Otherwise, display the equation has no real roots. Here are some sample runs. Enter a: 2 Enter b: 5 Enter e: 3 Roots: x1 -3.x2-0.5