physics please! can someone show me how to do this?

Question

a t=0 mins, the cruise ship had a velocity of +447 cm/s and was at x=513 km. the ship then acce;erated at a constant rate of 10 cm/s^2. find the distance the cruise ship traveled in 2 mins.

Answer 1

s = ut + 1/2(a)t^2

s = displacement
u = initial velocity
t = time
a = acceleration

I don't think 513km really matters because you're only trying to figure out how far the ship goes. Let's solve for s...

s = (.447m/s)(120secs) + (1/2)(.10m/s^2)(120^2sec)
s= 773.64m

I think this answer makes sense because if the ship was not accelerating and just moving at .447m/s, in 120seconds it would travel (.447)(120) or 536.4meters. However, since it is accelerating, it makes sense that the ship would travel farther.

Answer 2

unstated assumptions
all the accelerations, speeds and distances are measured consistently in a single direction.

2 minutes is 120 seconds
if the ship had not accelerated then the ship would have traveled
120seconds*447cm/s=53640cm=.5364 kilometers
accelerating 10 cm/s^s for 120 seconds would add additional distance
1/2At^2
=1/2*10*120*120
=5*14400=72000cm=.72000kilometers
adding the two distances together
1.2564 kilometers or not quite a mile

Answer 3

Start with the formula:
distance=(initial velocity)x(time) + 0.5(acceleration)x(time)^2
so...

d=(447 cm/sec)(120 sec)+0.5(10 cm/sec^2)(120 sec)^2
d=125640 cm
There are 100000 cm in a kilometer so....
d=1.2564 km

The distance traveled in 2 minutes is 1.2564 km, and the total distance is...
1.2564 km+ 513 km = 514.2564 km