Your rocket takes off from Earth and goes from 0 m per second to 560 m per second in the first 7 seconds of flight. What is your acceleration?
Once your rocket reaches space, the captain adjusts the speed. Your captain goes from 24,000 km/hr to 17,000 km/hr over 90 seconds. What is your acceleration?
Once you land on Mars, you get in your rover to begin exploring the surface. Your rover accelerates at a pace of 3.5 km/hr/second for 10 seconds. What is the velocity of your rover after 10 seconds?
Light travels at 300,000 km per second. Mars is 56 million km away from Earth. How many seconds does it take light to travel from Mars to Earth?
Im swamped with school work and I cant wrap my mind around this at all.
a = ∆v/∆t = (560m/s) / (7s) = 80 m/s^2
∆v = 17000-24000 km/hr = -7000 km/hr * 1000m/km * 1hr/3600s = 1944.44 m/s
a = ∆v/∆t = -1944.44/90 = -21.6 m/s^2
3.5 km/hr/second * 10 s = 35 km/hr
56*10^6km / (3*10^5 km/s) = 186.67 s
all of these are quite similar. Things get much easier if you keep track of the units. Just arrange things so that the unwanted units go away.
Your rocket takes off from Earth and goes from 0 m per second to 560 m per second in the first 7 seconds of flight. What is your acceleration? 0m/s is the initial velocity, 560m/s is the final velocity, and 7secs is the time. acceleration= [(fv-iv)]/t Acceleration=(560m/s-0m/s)/7sec. = acceleration=560m/s/7sec. = acceleration= 80m/s^2 meaning that the rockets acceleration is 80m/s^2 going up.
Once your rocket reaches space, the captain adjusts the speed. Your captain goes from 24,000 km/hr to 17,000 km/hr over 90 seconds. What is your acceleration? Beginning speed is 17,000 km/hr, the ending speed= 24,000km/hr, and the time it took=90/sec (have to convert 90 secs to hrs) do that by doing 90sec*1min/60sec*1hr/60min=0.025hrs 17000-24000=-7000/0.025=-280,000 km/hr^2
No problem! Let's break down each question step by step:
1. To find the acceleration of the rocket during the first 7 seconds of flight, we can use the formula: acceleration = (final velocity - initial velocity) / time.
Given:
- Initial velocity (u) = 0 m/s
- Final velocity (v) = 560 m/s
- Time (t) = 7 s
Plugging these values into the formula, we get:
Acceleration = (560 m/s - 0 m/s) / 7 s
Acceleration = 560 m/s / 7 s
Acceleration = 80 m/s²
Therefore, the acceleration of the rocket during the first 7 seconds of flight is 80 m/s².
2. To find the acceleration of the rocket after the captain adjusts the speed, we can again use the formula: acceleration = (final velocity - initial velocity) / time.
Given:
- Initial velocity (u) = 24,000 km/hr = 6,666.67 m/s
- Final velocity (v) = 17,000 km/hr = 4,722.22 m/s
- Time (t) = 90 s
Plugging these values into the formula, we get:
Acceleration = (4,722.22 m/s - 6,666.67 m/s) / 90 s
Acceleration = -1,944.45 m/s / 90 s
Acceleration ≈ -21.60 m/s²
Therefore, the acceleration of the rocket after the captain adjusts the speed is approximately -21.60 m/s².
3. To find the velocity of the rover after 10 seconds, we can use the formula: velocity = initial velocity + (acceleration * time).
Given:
- Initial velocity (u) = 0 km/hr = 0 m/s
- Acceleration (a) = 3.5 km/hr/second = 0.9722 m/s²
- Time (t) = 10 s
Plugging these values into the formula, we get:
Velocity = 0 m/s + (0.9722 m/s² * 10 s)
Velocity = 0 m/s + 9.722 m/s
Velocity ≈ 9.722 m/s
Therefore, the velocity of the rover after 10 seconds is approximately 9.722 m/s.
4. To find out how many seconds it takes for light to travel from Mars to Earth, we can use the formula: time = distance / speed.
Given:
- Distance (d) = 56 million km = 56,000,000,000 m
- Speed (s) = 300,000 km/s = 300,000,000 m/s
Plugging these values into the formula, we get:
Time = 56,000,000,000 m / 300,000,000 m/s
Time = 186.67 s
Therefore, it takes approximately 186.67 seconds for light to travel from Mars to Earth.
I hope this helps! Let me know if I can assist you further.
I can definitely help you with these questions! Let's break down each question and explain how to find the answers step by step.
1. What is your acceleration during the first 7 seconds of flight?
To find acceleration, we can use the formula:
Acceleration (a) = Change in Velocity (Δv) / Time (Δt)
In this case, the change in velocity (Δv) is 560 m/s - 0 m/s = 560 m/s since the rocket goes from 0 m/s to 560 m/s. The time (Δt) is given as 7 seconds. Plugging these values into the formula, we get:
Acceleration (a) = (560 m/s - 0 m/s) / 7 s = 80 m/s^2
2. What is your acceleration when adjusting the speed in space?
We again use the same formula:
Acceleration (a) = Change in Velocity (Δv) / Time (Δt)
The change in velocity (Δv) in this case is 17,000 km/hr - 24,000 km/hr = -7,000 km/hr. Note that the negative sign indicates a decrease in speed. The time (Δt) is given as 90 seconds. However, we need to convert km/hr to m/s to be consistent with the units in the first question. 1 km/hr = 1000 m / 3600 s ≈ 0.2778 m/s. So, -7,000 km/hr ≈ -19444 m/s. Plugging these values into the formula, we get:
Acceleration (a) = (-19444 m/s) / 90 s ≈ -216.04 m/s^2
3. What is the velocity of your rover after 10 seconds?
Here, we can use a different formula to find velocity:
Final Velocity (v) = Initial Velocity (u) + (Acceleration (a) * Time (t))
The initial velocity (u) is 0 km/hr since the rover starts from rest. The acceleration (a) is given as 3.5 km/hr/second. Again, we need to convert km/hr to m/s. Using the same conversion factor as before, 3.5 km/hr ≈ 0.9722 m/s^2. The time (t) is given as 10 seconds. Plugging these values into the formula, we get:
Final Velocity (v) = 0 m/s + (0.9722 m/s^2 * 10 s) = 9.722 m/s
4. How many seconds does it take light to travel from Mars to Earth?
To find the time it takes for light to travel between Mars and Earth, we need to use the formula for speed:
Speed (v) = Distance (d) / Time (t)
In this case, the speed of light is given as 300,000 km/s and the distance between Mars and Earth is 56 million km. We want to find the time (t). Rearranging the formula, we get:
Time (t) = Distance (d) / Speed (v) = 56,000,000 km / 300,000 km/s = 186.67 s
So it takes approximately 186.67 seconds for light to travel from Mars to Earth.
I hope this explanation helps you understand how to solve these problems. If you have any further questions, feel free to ask!