An object is at rest at #(2 ,9 ,5 )# and constantly accelerates at a rate of #1/5 m/s# as it moves to point B. If point B is at #(6 ,2 ,7 )#, how long will it take for the object to reach point B? Assume that all coordinates are in meters.
1 Answer
Jul 29, 2017
Explanation:
NOTE: I'll assume the given acceleration is
We're asked to find the time
To do this, we can use the equation
where
#Deltax# is the distance it travels, which can be found using the distance formula:
#Deltax = sqrt((62)^2 + (29)^2 + (75)^2) = 8.31# #"m"#

#v_(0x)# is the initial velocity, which is#0# since it started from rest 
#t# is the time (we're trying to find this) 
#a_x# is the constant acceleration (given as#1/5# #"m/s"^2# )
Plugging in known values, we have