In a test run, a rocket-powered car is driving down a test track at a constant speed when the rockets are fired. it then accelerates at 4 m/s2 for 8.0 s covering a distance of 224 m. at what speed was the car travelling when the rockets were fired?

Respuesta :

With the use of the second equation of motion formula, the speed the car travelled when the rockets were fired is 12 m/s.

Speed in a Linear Motion

Linear motion depicts movement in a straight line. While speed is the distance travelled per time taken.

Given that In a test run, a rocket-powered car is driving down a test track at a constant speed when the rockets are fired. it then accelerates at 4 m/s2 for 8.0 s covering a distance of 224 m.

The given parameters are;

  • Accelerates a = 4 m/s2
  • Time t = 8s
  • Distance s = 224m

The speed the car travelled when the rockets were fired can be calculated by using the below formula

s = ut + 1/2a[tex]t^{2}[/tex]

Substitute all the parameters into the formula

224 = 8u + 1/2 x 4 x [tex]8^{2}[/tex]

224 =8u + 2 x 64

224 = 8u + 128

224 - 128 = 8u

8u = 96

u = 96/8

u = 12 m/s

Therefore, the speed the car travelled when the rockets were fired is 12 m/s.

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