A race car traveling at 33 m/s accelerates at a rate of 0.8 m/s2 for 20 s. What is the final speed of the race car?
A. 42.4 m/s
B. 61.3 m/s
C. 49.0 m/s
D. 10.4 m/s

Respuesta :

The final speed of the race car, given the data is 49 m/s (Option C)

What is acceleration?

The acceleration of an object is defined as the rate of change of velocity which time. It is expressed as

a = (v – u) / t

Where

  • a is the acceleration
  • v is the final velocity
  • u is the initial velocity
  • t is the time

With the above formula, we can determine the final velocity of the car. Details below:

How to determine the final velocity of the car

  • Initial velocity (u) = 33 m/s
  • Acceleration (a) = 0.8 m/s²
  • Time (t) =20 s
  • Final velocity (v) = ?

a = (v – u) / t

0.8 = (v – 33) / 20

Cross multiply

v – 33 = 0.8 × 20

v – 33 = 16

Collect like terms

v = 16 + 33

v = 49 m/s

Thus, the final velocity of the car is 49 m/s (Option C)

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