A car is traveling north at 15 m/s ten minutes later it is traveling at 70 m/s what is the car s initial velocity what is its acceleration
To find the car's initial velocity and acceleration, we can use the equations of motion.
Given:
Final velocity (v) = 70 m/s
Initial velocity (u) = ?
Time (t) = 10 minutes = 600 seconds
Step 1: Convert the time from minutes to seconds.
As the given time is in minutes, we need to convert it to seconds. There are 60 seconds in a minute, so,
t = 10 minutes × 60 seconds/minute = 600 seconds.
Step 2: Calculate the initial velocity (u).
We can use the equation of motion:
v = u + at,
where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time.
Since we want to find the initial velocity (u), we rearrange the equation:
u = v - at.
Substituting the values:
u = 70 m/s - a (acceleration) × 600 seconds.
Step 3: Calculate the acceleration (a).
We can use the equation of motion:
a = (v - u)/t.
Substituting the values:
a = (70 m/s - u) / 600 seconds.
Therefore, we can find the initial velocity (u) and the acceleration (a) by substituting the given values into the equations obtained in steps 2 and 3.
To find the car's initial velocity and acceleration, we can use the formulas of motion.
Given:
Final velocity (v) = 70 m/s
Time (t) = 10 minutes = 10 * 60 = 600 seconds
Initial velocity (u) = ?
Acceleration (a) = ?
We know that:
v = u + at
To find the initial velocity (u), we rearrange the equation:
u = v - at
Substituting the known values:
u = 70 m/s - a * 600 s
Now, let's find the acceleration (a). We can use the equation:
a = (v - u) / t
Substituting the known values:
a = (70 m/s - u) / 600 s
Now, we have two equations. We need to solve them simultaneously to find the values of u and a.
Step 1: Substitute the second equation into the first equation to eliminate the "a" variable:
u = 70 m/s - ((70 m/s - u) / 600 s) * 600 s
Step 2: Simplify the equation:
u = 70 m/s - (70 m/s - u)
Step 3: Expand the equation:
u = 70 m/s - 70 m/s + u
Step 4: Rearrange the terms:
0 = 0
Uh-oh! It seems that we made an error during the steps, as the equation doesn't yield any meaningful result. Let's reassess the problem:
If the car is initially traveling at 15 m/s and later accelerates to 70 m/s, we cannot determine the acceleration or initial velocity without more information about the time it took for the car to accelerate.
Please provide additional information or clarify the problem so we can determine the initial velocity and acceleration accurately.
change in speed over time. So,
(70-15)m/s / 10min = 4.5 m/s/min
Most people feel more comfortable with just two units, so that would be
4.5/m/s/min * 1min/60s = 4.5/60 = 0.075 m/s^2