Answer:
A. After 3.57 seconds, the racecar will overtake the stock car
B. distance travelled = 37. 59 m
C. v₁ = 21.06 m/s
v₂ = 16.45 m/s
Explanation:
Using, S = ut + 1/2at² where s is displacement, u is initial velocity, t is time, a is acceleration.
Car 1 has acceleration a = +5.9 m/s²; Car 2 has acceleration a = +3.6 m/s²
A. The time for the two cars to be directly side by side be t.
Beyond time, t, Car 1 will overtake Car 2.
Since both cars are starting from rest, initial velocity, u, = 0
S = 1/2at²
For car 1, time t = t - 1.0 since it started 1.0 second behind car 2
s₁ = 1/2 * 5.9 * (t - 1)²
s = 2.95t² - 5.9t + 2.95
For car 2; s₂ = 1/2 * 3.6 * t² = 1.8t²
at time t, the displacement of the two cars will be equal; s₁ = s₂
2.95t² - 5.9t + 2.95 = 1.8t²
1.15t² - 5.9t + 2.95 = 0
solving for t using the quadratic formula
t = (5.9 ± 4.61)/2.3
t = 4.57 s or 0.56 s
since t cannot be less than 1.0 s, t = 4.57 s
Time for car 1 = (4.57 - 1.0) s = 3.57 s
Therefore, after 3.57 seconds, the racecar will overtake the stock car
B. The distance travelled by both cars, s = 1/2 * 3.6 * 4.57² = 37.59 m OR
s = 1/2 * 5.9 * 3.57² = 37.59 m
distance travelled = 37. 59 m
C. Using v² = u² + 2as; since u = 0, v² = 2as
velocity of car 1; v₁² = 2 * 5.9 * 37.59
taking square root of both sides
v₁ = 21.06 m/s
velocity of car, v₂² = 2 * 3.6 * 37.59
taking square root of both sides
v₂ = 16.45 m/s
Alexander
Philip
Plato
B. irony.
C. doubling.
D. foreshadowing.
Langston Hughes yearns for equality in the poem “I Dream A World,” while in the poem “Democracy” he actively advocates the idea of fighting for equal treatment.
Through the title of the poem, it is suggestive that the poem 'Democracy' talks about the politics and writers view's on it. The writer uses lots of figurative devices such as simile and imageries to assert and emphasize his points. Here, the writer asks for his rights and liberty regardless of its color and want rights both legally and ethically being a citizen of America. Another democracy he asks for the equal recognition in the society. Due to racial stereotyping the whites are dominant and blacks are considered to be the second class of people.