Question
An ice sled powered by a rocket engine starts from rest on a large frozen lake and accelerates at +13.0 m/s^2. At t(subscript 1), the rocket engine is shut down and the sled moves with a constant velocity v until t(subscript 2). The total distance traveled by the sled is 5.30 x 10^3, and the total time is 90.0 s. Find t(subscript 1), t(subscript 2), and v.
Please show your work. Thank you very much!
Please show your work. Thank you very much!
Answers
a=13m/s²
v = 0 + a*t1....(1)
t1+t2=90....(2)
S=0*t1+(1/2)a*(t1)² + v*t2....(3)
Express v and t2 in terms of t1 and solve for t1 using the third equation.
v = 0 + a*t1....(1)
t1+t2=90....(2)
S=0*t1+(1/2)a*(t1)² + v*t2....(3)
Express v and t2 in terms of t1 and solve for t1 using the third equation.
Find the velocity at the end of the acceleration.
v=13t1
distance1= 1/2 13 t1^2
distance2= velocity*time= 1/2 13 t1(90-t1)
t2 is 90 sec
5.3E3=1/2 13 t1^2+ 1/2 13 t1(90-t1)
do the algebra, solve for t1.
v=13t1
distance1= 1/2 13 t1^2
distance2= velocity*time= 1/2 13 t1(90-t1)
t2 is 90 sec
5.3E3=1/2 13 t1^2+ 1/2 13 t1(90-t1)
do the algebra, solve for t1.
10
Related Questions
An ice sled powered by a rocket engine starts from rest on a large frozen lake and accelerates at +1...
An ice sled powered by a rocket engine starts
from rest on a large frozen lake and accelerates
at...
An ice sled powered by a rocket engine starts from rest on a large frozen lake and accelerates at +1...