Answered

Discover new knowledge and insights with IDNLearn.com's extensive Q&A platform. Discover prompt and accurate answers from our community of experienced professionals.

1. A drag racer accelerates from rest at 18ft/sec^2. How long does it take to acquire a speed of 60mph? What is required?
2. A contestant ran a 100-m dash in 10.6sec. What was his speed a) In feet per second and b) in miles per hr?

Sagot :

Asuwafohjamesidn

(1) The time taken for the drag racer to accelerate is 4.89 s

(2) The speed of the contestant (a) in feet per second is 30.89 ft/s (b) in miles per hr is 21.12 miles per hr.

(1) To calculate the time required to accelerate 18 ft/sec² from rest to a velocity of 60 mph, we use the formula below.

Formula:

  • t = (v-u)/a........... Equation 1

Where:

  • t = time
  • v = Final velocity
  • u = initial velocity
  • a = acceleration.

From the question,

Given:

  • a = 18 ft/sec² = (18×0.3048) = 5.4864 m/s²
  • v = 60 mph = (60×0.44704) = 26.82 m/s
  • u = 0 m/s ( from rest)

Substitute these values into equation 1

  • t = (26.82-0)/5.4864
  • t = 4.89 seconds

(2) To calculate the speed of the contestant, we use the formula below

Formula:

  • s = d/t............ Equation 1

Where:

  • s = speed of the contestant
  • d = distance
  • t = time.

From the question,

Given:

  • d = 100 m
  • t = 10.6 s

Substitute these values into equation 1

  • s = 100/10.6
  • s = 9.43 m/s

(a) In feet = (9.43/0.3048) = 30.94 ft/s

(b)  in miles per hr = (9.43×2.24) = 21.12 miles per hr

Hence, (1) The time taken for the drag racer to accelerate is 4.89 s (2) The speed of the contestant (a) in feet per second is 30.89 ft/s (b) in miles per hr is 21.12 miles per hr.

Learn more about speed here: https://brainly.com/question/4931057

We value your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. IDNLearn.com is committed to your satisfaction. Thank you for visiting, and see you next time for more helpful answers.