Can someone help me with these questions? I don't want the answers just some direction in how to solve them.
A motorcycle at a stoplight takes 4.22 seconds to accelerate to 28.0 m/s after the light turns green. What is its average acceleration?
An object that starts at rest accelerates until it is moving at 247 km/h. If it takes 1.7 minutes for this change to occur what is the average acceleration in m/s?
It takes a truck 3.56 seconds to slow down from 112 km/h to 87.4 km/h. What is its average acceleration?
How much time does it take for a car to accelerate from 3.44 m/s to 20.9 m/s if the average acceleration is 6.00 m/s^2?
<<A motorcycle at a stoplight takes 4.22 seconds to accelerate to 28.0 m/s after the light turns green. What is its average acceleration?>>
a=changevelocity/time=28/4.22 m/s^2
<<An object that starts at rest accelerates until it is moving at 247 km/h. If it takes 1.7 minutes for this change to occur what is the average acceleration in m/s?>> same formula: change km/hr to m/s, minutes to seconds.
<<How much time does it take for a car to accelerate from 3.44 m/s to 20.9 m/s if the average acceleration is 6.00 m/s^2? >> Here,
a= changevelocity/time=(vfinal-vinitial)/time. Solve for time.
To solve these questions, we can use the formula for average acceleration:
Average acceleration = (Final velocity - Initial velocity) / Time
Let's break down each question:
1. For the first question, we are given the time it takes for the motorcycle to accelerate and the final velocity. We need to find the average acceleration.
- Final velocity (v) = 28.0 m/s
- Time (t) = 4.22 seconds
Using the formula, we get:
Average acceleration = (v - 0) / t
= 28.0 m/s / 4.22 s
= 6.64 m/s²
2. In the second question, we are given the time it takes for an object to accelerate and the final velocity. We need to find the average acceleration in m/s.
- Final velocity (v) = 247 km/h
- Time (t) = 1.7 minutes = 102 seconds (1 minute = 60 seconds)
To convert the velocity to m/s, we divide by 3.6:
Final velocity = 247 km/h / 3.6 = 68.61 m/s
Using the formula, we get:
Average acceleration = (v - 0) / t
= 68.61 m/s / 102 s
= 0.67 m/s²
3. The third question involves a truck slowing down. We are given the time it takes to decelerate and the initial and final velocities. We need to find the average deceleration.
- Initial velocity (u) = 112 km/h
- Final velocity (v) = 87.4 km/h
- Time (t) = 3.56 seconds
To convert the velocities to m/s, we divide by 3.6:
Initial velocity = 112 km/h / 3.6 = 31.11 m/s
Final velocity = 87.4 km/h / 3.6 = 24.28 m/s
Using the formula, we get:
Average acceleration = (v - u) / t
= (24.28 m/s - 31.11 m/s) / 3.56 s
= -1.91 m/s² (Note: The negative sign represents deceleration)
4. In the last question, we are given the initial velocity, final velocity, and average acceleration. We need to find the time it takes for the car to accelerate.
- Initial velocity (u) = 3.44 m/s
- Final velocity (v) = 20.9 m/s
- Average acceleration (a) = 6.00 m/s²
Using the rearranged formula, we get:
t = (v - u) / a
= (20.9 m/s - 3.44 m/s) / 6.00 m/s²
= 2.42 seconds
I hope this helps you solve the questions step-by-step! If you have any further questions, please let me know.
To solve these questions, we can use the equations of motion and the formula for average acceleration. Average acceleration is defined as the change in velocity divided by the change in time.
Question 1:
Step 1: Write down the given values:
Initial velocity (u) = 0 m/s (since the motorcycle is at a stop)
Final velocity (v) = 28.0 m/s
Time taken (t) = 4.22 seconds
Step 2: Use the formula for average acceleration:
Average acceleration (a) = (v - u) / t
Step 3: Substitute the given values into the formula:
Average acceleration (a) = (28.0 m/s - 0 m/s) / 4.22 s
Step 4: Perform the calculation to find the average acceleration.
Question 2:
Step 1: Convert the given final velocity from km/h to m/s.
v = 247 km/h * (1000 m/1 km) * (1 h/3600 s)
Step 2: Convert the given time from minutes to seconds.
t = 1.7 minutes * 60 seconds/1 minute
Step 3: Write down the given values:
Initial velocity (u) = 0 m/s (since the object starts at rest)
Final velocity (v) = (converted value from step 1)
Time taken (t) = (converted value from step 2)
Step 4: Use the formula for average acceleration:
Average acceleration (a) = (v - u) / t
Step 5: Substitute the given values into the formula and perform the calculation to find the average acceleration.
Question 3:
Follow the same steps as in Question 2, using the given values for final velocity, initial velocity, and time.
Question 4:
Step 1: Write down the given values:
Initial velocity (u) = 3.44 m/s
Final velocity (v) = 20.9 m/s
Average acceleration (a) = 6.00 m/s^2
Step 2: Use the formula for average acceleration:
Average acceleration (a) = (v - u) / t
Step 3: Rearrange the formula to solve for time (t):
t = (v - u) / a
Step 4: Substitute the given values into the formula and perform the calculation to find the time.
By following these steps, you can solve each of these questions and find the average acceleration or the time required for the given scenarios.