Which is the correct acceleration vs. time graph for the velocity vs. time graph shown in (Figure 8)?

The correct option is the second option with horizontal bars at a =  6, a = -1, and a = 4 m/s²

Please find attached the table of values and a graph representing the correct option

Explanation:

The given data can be presented as follows;

Time (s),                 Velocity (m/s),               Acceleration (m/s²)

0,                                    -1,                                        6

0.5,                                   2,                                       6

1,                                       5,                                        6

0,                                      5,                                       -1

0.5,                                  4.5,                                     -1    

1,                                       4,                                       -1

1.5,                                    3.5,                                     -1

2,                                     3,                                        -1

2.5,                                 2.5,                                      -1

3,                                     2,                                         -1

0,                                     2,                                          4

0.5,                                   4,                                         4

1,                                        6,                                        4

1.5,                                    8,                                         4  

2,                                     10,                                         4

From the data, and the graph the acceleration for the period from the time t = 0 to t = 1 is 6 m/s²

From t = 1 to t = 4, the acceleration is constant and equal to -1

From t = 4 to t = 6 the acceleration is also constant and equal to 4

a solenoid is created by wrapping a l = 90 m long wire around a hollow tube of diameter d = 4.5 cm.   the wire diameter is d = 0.9 mm.   the solenoid wire is then connected to a power supply so that a current of i = 9 a flows through the wire.

randomized variablesl = 90 m

d = 4.5 cm

d = 0.9 mm

i = 9 a                                          

write an expression for the number of turns, n, in the solenoid. you do not need to take into account the diameter of the wire in this calculation.

calculate the number of turns, n, in the solenoid.

write an expression for the length of the solenoid (l2) in terms of the diameter of the hollow tube d.

calculate the length of the solenoid (l2)   in meters.

calculate the magnitude of the magnetic field at the center of the solenoid in teslas.

explanation:

the old price per ounce is c/4.

the new price per ounce is c/3.6.

the ratio of the old price to the new one is

(c/4)/(c/3.6) = (c/c)×(3.6/4) = 0.9 . . = 9/10 . . "nine tenths" in either form