Respuesta :

Answer:

Time taken by the car = 6 seconds.

Explanation:

Given:

Case 1:

Initial velocity of the car, [tex]v_i[/tex] = 0

Final velocity of the car, [tex]v_f[/tex] = 30 m/s

Time taken by the car, [tex]t[/tex] = 12 sec

Case 2:

Initial velocity of the car, [tex]v_i_2[/tex] = 0

Final velocity of the car, [tex]v_f_2[/tex] = 15 m/s

Solution:

Lets find the acceleration in first case:

acceleration (a) = (final velocity - initial velocity) / time

⇒ [tex]a=\frac{v_f-v_i}{t}[/tex]

⇒ [tex]a=\frac{30-0}{12}[/tex]

⇒ [tex]a=\frac{30}{12}[/tex]

⇒ [tex]a=2.5\ ms^-^2[/tex]

Using this acceleration value we can find the time taken in case 2:

⇒ time taken (t2) = (final velocity - initial velocity) / acceleration

⇒ [tex]t_2=\frac{v_f-v_i}{a}[/tex]

⇒ [tex]t_2=\frac{15-0}{2.5}[/tex]

⇒ [tex]t_2=\frac{15}{2.5}[/tex]

⇒ [tex]t_2=6\ sec[/tex]

So time taken by the car to go from rest to 15 m/s is 6 seconds.

Answer:

Time taken by the car = 6 seconds.

Explanation:

Given:

Case 1:

Initial velocity of the car,  = 0

Final velocity of the car,  = 30 m/s

Time taken by the car,  = 12 sec

Case 2:

Initial velocity of the car,  = 0

Final velocity of the car,  = 15 m/s

Solution:

Lets find the acceleration in first case:

⇒ acceleration (a) = (final velocity - initial velocity) / time

⇒ Using this acceleration value we can find the time taken in case 2

⇒ time taken (t2) = (final velocity - initial velocity) / acceleration

So time taken by the car to go from rest to 15 m/s is 6 seconds.