0
What is the final speed of a bullet train accelerating at a rate of 200 kilometer per hour squared from an initial speed of 150 kilometer per hour over a distance of 100 km.?
Wiki User
∙ 11y ago
Here's a good old reliable formula that typically shows up with time in seconds,
but if we're careful and keep everything consistent, there's no reason that it
shouldn't work just as well for this situation, with the time in hours:
Distance = s0 T + 1/2 A T2
Distance = 100 km
s0 = initial speed = 150 km/hr
A = acceleration = 200 km/hr2
Let's see what that does for us:
100 = 150 T + 100 T2
T2 + 1.5 T - 1 = 0
T = 1/2 [ -1.5 ± sqrt(2.25 + 4) ] = 1/2 [ -1.5 ± sqrt(6.25) ]
T = 1/2 hr
T = -2 hr
The solution T=-2 hr is technically perfect, mathematically impeccable,
and realistically useless. We'll use the solution T=0.5 hour .
-- T = 0.5 hour when the train has covered 100 km.
-- In 1/2 hour, its speed has increased by 1/2 of the acceleration value = 100 km/hr.
-- With its muzzle velocity of 150 km/hr, the bullet train's speed after the 1/2 hour is 250 km/hr .
Wiki User
∙ 11y ago
Add your answer:
Earn +20 pts
If you know the distance traveled and the time traveled can YOU determine an object and ACCELERATION?
no, you need to know its initial velocity to determine this; if initial velocity is zero then distance is 1/2 acceleration x time squared
What is Galileo's formula with distance accleraction and time?
distance equals initial velocity times change in time interval plus half of accerlation plus time interval squared
What is 20.72 km squared rounded to the nearest square kilometer?
21 km squared
How do you calculate tota distance traveled when given velocity time and acceleration?
Assuming constant acceleration: distance = v(0) t + (1/2) a t squared Where v(0) is the initial velocity.
How do you calculate velocity final with distance and acceleration?
aSsuming constant acceleration, and movement along a line, use the formula: vf2 = vi2 + (1/2)at2 (final speed squared equals initial speed squared plus one-half times acceleration times time squared).
How many meters are in a kilometer squared?
One kilometer squared equates to one million meters squared.
How many meters squared are in a kilometer squared?
1 sq kilometer = 1000000 sq meters
How do you calculate the initial speed?
v2 = u2+ 2as where v squares is the final velocity , u squared is the initial velocity , a is the acceleration and s is the distance travelled. If it is free fall take a = 10m/s squared ( as gravity ).
If you know the distance traveled and the time traveled can YOU determine an object and ACCELERATION?
no, you need to know its initial velocity to determine this; if initial velocity is zero then distance is 1/2 acceleration x time squared
How many squared meters is in 1 squared kilometer?
a million.
How many centimeters squared are in one kilometer squared?
1 Square kilometer is 10 000 000 000 square centimeters
How many areas are in a kilometer squared?
1 square kilometer 1x1=1
What is Galileo's formula with distance accleraction and time?
distance equals initial velocity times change in time interval plus half of accerlation plus time interval squared
What is 20.72 km squared rounded to the nearest square kilometer?
21 km squared
How do you calculate tota distance traveled when given velocity time and acceleration?
Assuming constant acceleration: distance = v(0) t + (1/2) a t squared Where v(0) is the initial velocity.
How many millimeters squared are in one kilometer squared?
1 sq km = 1,000,000,000,000 sq mm
What is the distance if the acceleration is 0.5 meters per sec square at 20 seconds?
If you assume that the initial speed is zero, you can calculate the distance using the formula:distance = 1/2 x acceleration x time squared
