An object is at rest at #(1 ,2 ,9 )# and constantly accelerates at a rate of #1 m/s^2# as it moves to point B. If point B is at #(3 ,1 ,4 )#, how long will it take for the object to reach point B? Assume that all coordinates are in meters.
1 Answer
Explanation:
We're dealing with one-dimensional motion with constant acceleration.
What we can do first is find the displacement
Let's look at our known quantities:
Since the object is initially at rest,
#v_(0x) = 0# We'll make the initial position
#x_0# be#0# , and the position#x# at time#t# be#5.48"m"# The acceleration is constant at
#1"m"/"s"#
To find the time duration
And since the initial velocity and position are both
Here, the variable