To calculate acceleration between 6 and 9 seconds, you need to find the change in velocity during that time interval and then divide it by the time taken. The formula for acceleration is acceleration = (final velocity - initial velocity) / time. Plug in the velocities at 6 seconds and 9 seconds into the formula to get the acceleration.
To determine the speed of the crate after 6 seconds, we first need to calculate the net force acting on the crate on the inclined plane. This can be done by resolving the weight of the crate into components parallel and perpendicular to the plane. Then, using Newton's second law, F = ma, where F is the net force, m is the mass of the crate, and a is the acceleration, we can find the acceleration down the incline. After finding this acceleration, we can use the kinematic equation v = u + at to calculate the final speed of the crate after 6 seconds, where v is the final velocity, u is the initial velocity (assumed to be 0), a is the acceleration, and t is the time.
Your initial velocity is 6 m/s, and your final velocity is 10 m/s. The total change in velocity is 4 m/s (10 m/s - 6 m/s). Given that this change occurs over 20 seconds, you can calculate the acceleration using the formula acceleration = change in velocity / time. Therefore, the acceleration is 0.2 m/s^2.
To find the displacement from 2 seconds to 6 seconds, you need to calculate the change in position of the object during that time interval. This can be done by subtracting the position of the object at 2 seconds from its position at 6 seconds. The result will give you the displacement of the object during that time period.
The runner's acceleration can be calculated using the formula: acceleration = (final velocity - initial velocity) / time. Plugging in the values, we get: acceleration = (2 m/s - 6 m/s) / 2 s = -2 m/s^2. The negative sign indicates the acceleration is in the opposite direction of the initial velocity.
The force required can be calculated using the formula: Force = mass * acceleration. First, calculate the acceleration using the formula: acceleration = (final velocity - initial velocity) / time. Plugging in the values, we get acceleration = (10 m/s - 0 m/s) / 5 s = 2 m/s^2. Next, use the formula to find the force: Force = 6 kg * 2 m/s^2 = 12 N.
Change of speed divided by time gives you average acceleration. For example, a change of 30 m/s during 5 seconds gives you 6 meters per second square - this is the average acceleration during those 5 seconds. If acceleration is constant, then this is also the acceleration at any moment during those 5 seconds. For more complicated functions (non-constant acceleration), derivates (a topic in calculus) has to be used. Specifically, the acceleration is the derivative of the velocity.
To find the advertised acceleration in miles per hour squared, we first calculate the change in speed, which is 60 miles per hour, over the time interval of 6 seconds. Since there are 3600 seconds in an hour, we convert the time to hours: 6 seconds is 1/600 of an hour. The acceleration can be calculated as ( \frac{60 \text{ mph}}{1/600 \text{ hr}} = 60 \times 600 = 36,000 \text{ mph}^2). Thus, the advertised acceleration is 36,000 miles per hour squared.
To determine the speed of the crate after 6 seconds, we first need to calculate the net force acting on the crate on the inclined plane. This can be done by resolving the weight of the crate into components parallel and perpendicular to the plane. Then, using Newton's second law, F = ma, where F is the net force, m is the mass of the crate, and a is the acceleration, we can find the acceleration down the incline. After finding this acceleration, we can use the kinematic equation v = u + at to calculate the final speed of the crate after 6 seconds, where v is the final velocity, u is the initial velocity (assumed to be 0), a is the acceleration, and t is the time.
To convert 3 minutes and 6 seconds into seconds, first calculate the seconds in the minutes: 3 minutes is 3 × 60 = 180 seconds. Then, add the additional 6 seconds: 180 seconds + 6 seconds = 186 seconds. Therefore, there are 186 seconds in 3 minutes and 6 seconds.
55/6 = 9.16666...mph/s
You haven't mentioned the speed difference or speed gain in this question so it cannot be answered
10 feet per second squared
Your initial velocity is 6 m/s, and your final velocity is 10 m/s. The total change in velocity is 4 m/s (10 m/s - 6 m/s). Given that this change occurs over 20 seconds, you can calculate the acceleration using the formula acceleration = change in velocity / time. Therefore, the acceleration is 0.2 m/s^2.
To find the displacement from 2 seconds to 6 seconds, you need to calculate the change in position of the object during that time interval. This can be done by subtracting the position of the object at 2 seconds from its position at 6 seconds. The result will give you the displacement of the object during that time period.
To calculate the total seconds in 6 hours and 20 minutes, first convert the hours to seconds. There are 3600 seconds in an hour, so 6 hours is 6 × 3600 = 21,600 seconds. For 20 minutes, there are 60 seconds in a minute, so 20 minutes is 20 × 60 = 1,200 seconds. Adding these together, 21,600 + 1,200 equals 22,800 seconds in total.
22.73 mph
The runner's acceleration can be calculated using the formula: acceleration = (final velocity - initial velocity) / time. Plugging in the values, we get: acceleration = (2 m/s - 6 m/s) / 2 s = -2 m/s^2. The negative sign indicates the acceleration is in the opposite direction of the initial velocity.