Photo AI

A car starts from rest and has an acceleration of 6 m s² - Leaving Cert Physics - Question b - 2021

Question icon

Question b

A-car-starts-from-rest-and-has-an-acceleration-of-6-m-s²-Leaving Cert Physics-Question b-2021.png

A car starts from rest and has an acceleration of 6 m s². Calculate the distance it travels in 12 s.

Worked Solution & Example Answer:A car starts from rest and has an acceleration of 6 m s² - Leaving Cert Physics - Question b - 2021

Step 1

Calculate the distance using the equation of motion.

96%

114 rated

Answer

To find the distance traveled by the car, we can use the following equation of motion:

s=ut+12at2s = ut + \frac{1}{2}at^2

where:

  • ss is the distance,
  • uu is the initial velocity (0 m/s, since the car starts from rest),
  • aa is the acceleration (6 m/s²),
  • tt is the time (12 s).

Plugging in the values:

s=0(12)+12(6)(122)s = 0(12) + \frac{1}{2}(6)(12^2) s=0+12(6)(144)s = 0 + \frac{1}{2}(6)(144) s=12(864)s = \frac{1}{2}(864) s=432extms = 432 ext{ m}

Therefore, the distance the car travels in 12 seconds is 432 meters.

Join the Leaving Cert students using SimpleStudy...

97% of Students

Report Improved Results

98% of Students

Recommend to friends

100,000+

Students Supported

1 Million+

Questions answered

;