This is true.chroncile said:tR = tw + 0.5 s
This is only true at the moment the wolf starts moving. Skip it.dw = dr + 1.5 m
Good. This is the wolf's position measured from his starting point.Wolf:
vi = 0
a = 1.2 m/s2
d = vit + 0.5 at2
d = 0.5(1.2)t2
d = 0.6t2
Good. This is the rabbit's position measured from the wolf's starting point.Rabbit:
v = 3.0 m/s
d = v * t
d = 3.0t
Since tr = tw + 0.5 s
dr = 3.0(tw + 0.5)
dr = 3.0tw + 1.5
Nah. Just set the two positions equal to solve for when the wolf reaches the rabbit.Wolf:
Since dw = dr + 1.5
Initially the distance between them is 1.5 m. But the wolf catches up to the rabbit, which means they are at the same place. You've already included that head start when you wrote your equations.chroncile said:Okay, great I got the right answer, but can you please explain to me why it's not + 1.5?
A motion problem for constant acceleration is a type of physics problem that involves calculating the motion of an object (in this case, a rabbit) that is accelerating at a constant rate. It typically involves finding the object's position, velocity, or acceleration at a given time.
The acceleration of a rabbit in a motion problem can be calculated using the formula a = (vf - vi)/t, where a is acceleration, vf is the final velocity, vi is the initial velocity, and t is the time elapsed. In this formula, the initial and final velocities must be in the same units and the time must be in seconds.
Time is a crucial factor in a motion problem for constant acceleration. It is used to calculate the acceleration, as well as the final velocity and position of the rabbit. The longer the time, the greater the change in velocity and position of the rabbit will be.
In a motion problem for constant acceleration, the velocity of the rabbit increases or decreases at a constant rate over time. This means that the rabbit's velocity is changing by the same amount every second. For example, if the rabbit's acceleration is 2 meters per second squared, its velocity will increase by 2 meters per second every second.
Yes, a rabbit can change direction during a motion problem for constant acceleration. This can occur when the rabbit's acceleration is negative, meaning it is slowing down. If the rabbit is initially moving forward and then starts to slow down, it will eventually come to a stop and then start moving in the opposite direction.