Homework SourseA truck covers 500m in 950s while smoothly slowing down to a
A truck covers 50.0m in 9.50s while smoothly slowing down to a final speed of 3.00m/s.
A) Find its original speed
B) Find its acceleration
A truck covers 50.0m in 9.50s while smoothly slowing down to a final speed of 3.00m/s.
A) Find its original speed
B) Find its acceleration
A) Find its original speed
B) Find its acceleration
Solution
1.
d = 50 m
t = 9.50 sec
vf = 3.00 m/sec
using the equation
v = u + a*t
u = v - a*t
u = 3 - 9.5*a
d = u*t + 0.5*a*t^2
50 = (3 - 9.5*a)9.5 + 0.5*a*9.5^2
Solving above equation
50 = 9.5*3 - 9.5^2*a + 9.5^2*0.5*a
9.5^2*0.5*a = (9.5*3 - 50)
a = (9.5*3 - 50)/(9.5^2*0.5)
a = - 0.48 m/sec^2 (B)
Now
v = u + a*t
3 = u - 0.48*9.5
u = 3 + 9.5*0.48
u = 7.56 m/sec (A)
