1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
tester [92]
3 years ago
5

In 1898, the world land speed record was set by Gaston Chasseloup-Laubat driving a car named Jeantaud. His speed was 39.24 mph (

63.15 km/h), much lower than the limit on our interstate highways today. Repeat the calculations of Example 2.7 (assume the car accelerates for 6 miles to get up to speed, is then timed for a one-mile distance, and accelerates for another 6 miles to come to a stop) for the Jeantaud car. (Assume the car moves in the +x direction.)
Find the acceleration for the first 6 miles.
Physics
1 answer:
FromTheMoon [43]3 years ago
7 0

Answer:

the acceleration a^{\to} = (0.0159 \ \ m/s^2 )i

Explanation:

Given that:

the initial speed v₁ = 0 m/s i.e starting from rest ; since the car accelerates at a distance Δx = 6 miles in order to teach that final speed v₂ of 63.15 km/h.

So;  the acceleration for the first 6 miles can be calculated by using the formula:

v₂² = v₁² + 2a (Δx)

Making acceleration  a the subject of the formula in the above expression ; we have:

v₂² - v₁² = 2a (Δx)

a = \dfrac{v_2^2 - v_1^2 }{2 \Delta x}

a = \dfrac{(63.15 \ km/s)^2 - (0 \ m/s)^2 }{2 (6 \ miles)}

a = \dfrac{(17.54 \ m/s)^2 - (0 \ m/s)^2 }{2 (9.65*10^3 \ m)}

a =0.0159 \ m/s^2

Thus;

Assume the car moves in the +x direction;

the acceleration a^{\to} = (0.0159 \ \ m/s^2 )i

You might be interested in
Oxygen is the most abundant gas in Earth’s atmosphere true or false
iogann1982 [59]

Answer: false

Explanation:

Nitrogen is actually the most abundant gas in the atmosphere.

The answer to the question is false. Hope this helps you!

3 0
3 years ago
Read 2 more answers
A cannon is fired from the edge of a cliff, which is 60m above the sea. The cannonball's initial velocity is 88.3m/s and it is f
wel

Answer:

a. 11.29 s b. 94.72 m/s at -39.8° c. 821.57 m​

Explanation:

a. Using y - y₀ = ut - 1/2gt² where u = vertical component of velocity = v₀sinθ where v₀ = 88.3 m/s and θ = 34.5°, y₀ = + 60 m and y = water surface = 0 m, g = 9.8 m/s² and t = time it takes the cannon to reach the water surface.

So y - y₀ = ut - 1/2gt²

y - y₀ = (v₀sinθ)t - 1/2gt²

substituting the values of the variables into the equation, we have

0 - 60 = (88.3 m/s × sin34.5°)t - 1/2 × 9.8 m/s²× t²

- 60 = 50t - 4.9t²

So, 4.9t² - 50t - 60 = 0

Using the quadratic formula to find t,

t = \frac{-(-50) +/- \sqrt{(-50)^{2} - 4 X 4.9 X -60} }{2 X 4.9} \\t = \frac{50 +/- \sqrt{2500 + 1176} }{9.8} \\t = \frac{50 +/- \sqrt{3676} }{9.8} \\t = \frac{50 +/- 60.63 }{9.8} \\t = \frac{50 + 60.63 }{9.8} or t = \frac{50 - 60.63 }{9.8} \\t = \frac{110.63 }{9.8} or t = \frac{-10.63 }{9.8} \\t = 11.29 sor -1.085

Since t cannot be negative, t = 11.29 s

b. We first need to find the impact vertical velocity component. Using

v = u - gt where u = initial vertical velocity component = v₀sinθ  and t = 11.29 s and g = 9.8 m/s². So,

v = v₀sinθ - gt

= 88.3 m/s × sin34.5° - 9.8 m/s² × 11.29 s

= 50.01 m/s - 110.64 m/s

= -60.63 m/s

Since the horizontal velocity is constant u' = v₀cosθ = 88.3 m/s × cos34.5° = 72.77 m/s.

The impact velocity is thus the resultant of the horizontal velocity and final impact velocity. So, V = √(v² + u'²)

= √((-60.63 m/s)² + (72.77 m/s)²)

= √((3676 m²/s² + 5295.48 m²/s²)

= √(8971.48 m²/s²

= 94.72 m/s

The angle θ = tan⁻¹(v/u') = tan⁻¹(-60.63 m/s ÷ 72.77 m/s) = tan⁻¹(-0.8332) = -39.8°

So the impact velocity is 94.72 m/s at -39.8°

c. The horizontal distance out from the base of the cliff that the ball strikes the water is the range, R = u't = 72.77 m/s × 11.29 s = 821.57 m​

5 0
3 years ago
BRAINLIEST FOR YOU IF YOU ANSWER
luda_lava [24]

Answer:

d

Explanation:

i think

5 0
2 years ago
2
taurus [48]
A the endocrine system does not fulfill its function
5 0
2 years ago
Which of the following is true about organizing items and information during scientific investigations?
LekaFEV [45]
There are usually multiple methods for organizing items and information in a scientific investigation.
5 0
3 years ago
Read 2 more answers
Other questions:
  • How can I change my Brainly username?
    5·2 answers
  • Two vectors, X and Y, form a right angle. Vector X is 48 inches long and vector Y is 14 inches long. the length of the resultant
    10·1 answer
  • True or false. Students with a Learners License may not receive a motorcycle endorsement.
    7·1 answer
  • You are considering developing a new food-chopping appliance which uses an Arduino with a touchscreen to control the motor. You
    10·1 answer
  • Define fundamental unit.​
    14·1 answer
  • If we throw a tennis ball and a bowling ball, would the bowling ball require more or less force than the tennis ball to reach th
    9·1 answer
  • Alli was in the park playing on the equipment. she noticed that on the highest slide she slides down
    12·2 answers
  • ¿Es posible determinar el valos de las variables que intervienen en los diferentes movimientos en dos dimensiones?
    6·1 answer
  • Shadow and eclipses result from​
    8·2 answers
  • What happens to the resistance of two resistors when connected in series​ circuit
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!