SOLUTION: A particle starts from the origin at t = 0 with an initial velocity having an x component of 17.7 m/s and a y component of −10.8 m/s. The particle moves in the xy plane wi

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Question 214191: A particle starts from the origin at t = 0 with
an initial velocity having an x component of
17.7 m/s and a y component of −10.8 m/s.
The particle moves in the xy plane with an
x component of acceleration only, given by
4.51 m/s2.
a. Determine the x component of velocity af-
ter 7.16 s. Answer in units of m/s. 49.9916 m/s
b. Find the speed of the particle after 7.16 s.
Answer in units of m/s.
c. Find the magnitude of the displacement vec-
tor of the particle after t = 7.16 s. Answer in
units of m.
011 (part 1 of 2) 10.0

need assistance on b and c

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
A particle starts from the origin at t = 0 with
an initial velocity having an x component of
17.7 m/s and a y component of −10.8 m/s.
The particle moves in the xy plane with an
x component of acceleration only, given by
4.51 m/s2.
a. Determine the x component of velocity af-
ter 7.16 s. Answer in units of m/s. 49.9916 m/s
------------------------
b. Find the speed of the particle after 7.16 s.
Answer in units of m/s.
v+=+sqrt%28x%5E2+%2B+y%5E2%29 x & y are respective speeds
v+=+sqrt%2849.9916%5E2+%2B+10.8%5E2%29
v+=+sqrt%282615.8%29
v =~ 51.145 m/sec
------------------
c. Find the magnitude of the displacement vec-
tor of the particle after t = 7.16 s. Answer in
units of m.
x = 7.16*(17.7 + 49.9916)/2
x = 242.34 meters
------
y = - 7.16*10.8
y = 77.328 meters
s+=+sqrt%28x%5E2+%2B+y%5E2%29
s+=+sqrt%2864707%29
s = 254.375 meters