Question

**The Tesla Model S P100D with Ludicrous+ can accelerate
from 0 to 60 miles/hour in about 2.28 seconds. If the maximum
acceleration is proportional to the difference between the top
speed of 155 miles/hour and the current speed, then**

**a) Give the DE with IC's for the acceleration of the
car, then solve it.**

**b) Based on your answer to part (a), what would be the
time for the car to accelerate from 0 to 100 miles/hour and the
time in the standing 1⁄4-mile (i.e. the time for the car to
traverse a 1⁄4-mile from a standstill)?**

**I mainly need the part b**

Answer #1

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A consumer group claims that the mean acceleration time from 0
to 60 miles per hour for a sedan is 6.8 seconds. A random sample of
33 sedans has a mean acceleration time from 0 to 60 miles per hour
of 7.6 seconds. Assume the population standard deviation is 2.3
seconds. Find the standardized test statistic and the corresponding
p-value.
z-test statistic = -1.998, p-value = 0.023
z-test statistic = 1.998, p-value = 0.046
z-test statistic = -1.998, p-value =...

If a car does 0-60 miles/hour in 8 seconds at full
throttle. What speed is achieved after traveling only 0.4 miles
from 0mph at full throttle?

Solve in Mathcad
a car is initially moving at 60 miles an hour and
brakes at time zero. Using time points 0,1,2,3,4, and 5 seconds and
distances of 0, 80, 144, 192, 223, and 239 ft. preperarr a data
table and cubic spline interpolation to find the position at 3.25
seconds. show all work

A certain vehicle can accelerate from a standing start to a
speed of v(t) = −0.27t^2 + 16t feet per second after t seconds (for
0 ≤ t < 30).
(a) Find a formula for the distance that it will travel from its
starting point in the first t seconds. [Hint: Integrate velocity to
find distance, and then use the fact that distance is 0 at time t =
0.]
D(t) =
(b) Use the formula that you found in...

Solve using basic kinematics equations, thank
you!
5. A red paint ball fired from a 12-inch barrel will accelerate
at 90,000 ft/s2. If the paintball is in the barrel for .004714
seconds, what is the muzzle velocity of the paintball? (The speed
at which it leaves the barrel)
6. Motorcycles are some of the fastest decelerating vehicles.
Some can slow down with an acceleration of 5g’s (g is the
acceleration due to gravity, -9.81 m/s2 or –32.2 ft/s2). How much...

1. Starting from rest, it took you 12 seconds to accelerate your
car to 24 m/s at a constant acceleration. Find your
acceleration.
2.A prototype car starts from rest and accelerates at a constant
rate to 60 m/s in 5.1 seconds. How much distance did the car travel
during the 5.1-second accelerated motion?
3. A speeding driver noticed a police car parked about 443 m in
from of him on the side of the road and reduced his speed at...

a)
Two cars are set to race, one can only accelerate at a rate of 2m/s
starting from rest, and the other can only travel at a set speed of
10 m/s. How fast does each car cover 400 m? Which car would cover a
distance of 400 m faster?
b) If both cars from the previous question started from the
same position, at what time would they have the same displacement?
What is the displacement of the vehicles?
c)...

What are the factors that determine the acceleration time (in
sec.) from 0 to 60 miles per hour of a car? Data on the following
variables for 30 different vehicle models were collected:
Y (Accel Time): Acceleration time in sec.
X1(Engine Size): c.c.
X2 (Sedan): 1 if the vehicle model is a sedan
and 0 otherwise
The regression results using acceleration time as the dependent
variable and the remaining variables as the independent variables
are presented below.
The various residual...

The engine in an imaginary sports car can provide constant power
to the wheels over a range of speeds from 0 to 70 miles per hour
(mph). At full power, the car can accelerate from zero to 32.0 mph
in time 1.20 s .
a) At full power, how long would it take for the car to
accelerate from 0 to 64.0 mph ? Neglect friction and air
resistance. Please Express your answer in
seconds.
b) A more realistic car...

You are in a car (car A) traveling at a constant speed of 72 mph
(miles per hour) when another car (car B) 25 meters ahead of your
swerves into your lane. Car B is traveling at 100 km/hr. In order
to avoid colliding with car B, determine the minimum acceleration
of your car (A).
a) For both cars, sketch acceleration- and velocity-versus-time
graphs. (Be sure to label them.) When sketching a graph, you should
show the rough behavior (i.e.,...

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