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
a. True
b. False
Answer:
The unnecessary adjective in the sentence is "huge".
Explanation:
"Huge" is redundant in this sentence because it means the same as "torrent". On the one hand, "torrent" refers to "a strong and fast-moving stream of water or other liquid" or to "an overwhelming outpouring of (something)". On the other hand, "huge" means "extremely large, enormous". As you can see, they both make reference to the same meaning component "something being extremely big and of great importance".