15. A hybrid automobile traveling at 5.0 km/h, steadily increases its speed to 20.0 km/h in 10.0 s
a. Calculate its average acceleration, b. Calculate the distance the automobile travels during this
period of acceleration.
6. A race car traveling:



Answer :

The average acceleration of the hybrid automobile is 0.42 m/s².

The distance travelled by the hybrid automobile during the period of acceleration is 34.5 m.

What is the average acceleration of the hybrid automobile?

The average acceleration of the hybrid automobile is the rate of change of velocity of the hybrid automobile with time.

Mathematically, the formula for average acceleration is given as;

a = Δv/Δt

where;

  • Δv is change in velocity of the automobile
  • Δt is change in time of motion of the automobile

a = (v - u)/t

where;

  • v is the final velocity of the hybrid automobile = 20 km/h = 5.56 m/s
  • u is the initial velocity of the hybrid automobile = 5 km/h = 1.389 m/s

a = (5.56 - 1.389)/10

a = 0.42 m/s²

The distance travelled by the automobile during the period of acceleration is calculated as follows;

v² = u² + 2as

2as = v² - u²

s = (v² - u²)/(2a)

s = (5.56² - 1.389²) / (2 x 0.42)

s = 34.5 m

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