A car moving with a constant acceleration covers the distance between two points 60 m apart in 6.0 s. Its velocity as it passes the second point is 17 m/s.
a) What was the speed at the first point?
b) What is the constant acceleration?
c) How far behind the first point was the car at rest?
You have two equations that help:
vf=vi+ at and'
vf=2ad set them equal and solve for a.
When I solve for a I get the .061 and this is incorrect for the constant acceleration. I don't know what I am going wrong.
When I solve for a I get the .061 and this is incorrect for the constant acceleration. I don't know what I am going wrong.
To answer these questions, we can use the equations of motion for uniformly accelerated motion. These equations relate the distance covered, the initial velocity, the final velocity, the acceleration, and the time taken.
Let's use the following equations:
1. Distance covered (s) = Initial velocity (u) * Time (t) + (1/2) * Acceleration (a) * Time (t)^2
2. Final velocity (v) = Initial velocity (u) + Acceleration (a) * Time (t)
Now let's solve the questions one by one.
a) What was the speed at the first point?
To find the speed (initial velocity) at the first point, we can rearrange equation 2 to solve for the initial velocity:
Initial velocity (u) = Final velocity (v) - Acceleration (a) * Time (t)
Given:
Final velocity (v) = 17 m/s
Acceleration (a) = ? (unknown)
Time (t) = 6.0 s
We need to find the initial velocity (u). To do this, we need to know the acceleration.
b) What is the constant acceleration?
To find the constant acceleration, we can use equation 2 with the known values:
Final velocity (v) = Initial velocity (u) + Acceleration (a) * Time (t)
Given:
Final velocity (v) = 17 m/s
Initial velocity (u) = ? (unknown)
Acceleration (a) = ? (unknown)
Time (t) = 6.0 s
We need to find the acceleration (a). At this point, we don't have enough information to solve for either the initial velocity or the acceleration. We need more information.
c) How far behind the first point was the car at rest?
To find how far behind the first point the car was at rest, we can use equation 1 with the known values:
Distance covered (s) = Initial velocity (u) * Time (t) + (1/2) * Acceleration (a) * Time (t)^2
Given:
Distance covered (s) = 60 m
Initial velocity (u) = ? (unknown)
Acceleration (a) = ? (unknown)
Time (t) = 6.0 s
We need to find the distance behind the first point. At this point, we don't have enough information to solve for either the initial velocity or the acceleration. We still need more information.
In conclusion, we cannot answer questions a) and b) without more information about the acceleration. And for question c), we also need to know either the initial velocity or the acceleration.