Tony Stark tests the limits of his power suit by flying straight upwards. He begins at
rest and his net acceleration is straight up until he runs out of power at 1000
m . We will ignore atmospheric drag.
How long did it take him to travel that 1000 m ?

Ask by Hilton Colon. in the United States

Jan 10,2025

Question

Tony Stark tests the limits of his power suit by flying straight upwards. He begins at
rest and his net acceleration is straight up until he runs out of power at 1000
m . We will ignore atmospheric drag.
How long did it take him to travel that 1000 m ?

Ask by Hilton Colon. in the United States

Jan 10,2025

UpStudy AI · Accepted Answer

To find the time it took for Tony Stark to travel 1000 m, we can use the equation of motion under constant acceleration:

$$ s = ut + \frac{1}{2}at^2 $$

where:
- $$ s $$ is the distance traveled (1000 m),
- $$ u $$ is the initial velocity (0 m/s since he starts at rest),
- $$ a $$ is the acceleration (2.2 m/s^2),
- $$ t $$ is the time we are trying to find.

Substitute the given values into the equation:

$$ 1000 = 0 \times t + \frac{1}{2} \times 2.2 \times t^2 $$

Simplify the equation:

$$ 1000 = 1.1 \times t^2 $$

Now, we can solve for $$ t $$ by rearranging the equation:

$$ t^2 = \frac{1000}{1.1} $$

$$ t = \sqrt{\frac{1000}{1.1}} $$

Calculate the value of $$ t $$ to find the time it took for Tony Stark to travel 1000 m.
Calculate the value by following steps:
- step0: Calculate:
  $$\sqrt{\frac{1000}{1.1}}$$
- step1: Divide the numbers:
  $$\sqrt{\frac{10000}{11}}$$
- step2: Use the properties of radicals:
  $$\frac{\sqrt{10000}}{\sqrt{11}}$$
- step3: Simplify the expression:
  $$\frac{100}{\sqrt{11}}$$
- step4: Multiply by the Conjugate:
  $$\frac{100\sqrt{11}}{\sqrt{11}\times \sqrt{11}}$$
- step5: Multiply the numbers:
  $$\frac{100\sqrt{11}}{11}$$
The time it took for Tony Stark to travel 1000 m is approximately 30.15 seconds.
It took Tony Stark approximately 30.15 seconds to travel 1000 meters.

Tony Stark tests the limits of his power suit by flying straight upwards. He begins at
rest and his net acceleration is straight up until he runs out of power at 1000
m . We will ignore atmospheric drag.
How long did it take him to travel that 1000 m ?

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Tony Stark tests the limits of his power suit by flying straight upwards. He begins at rest and his net acceleration is straight up until he runs out of power at 1000 m . We will ignore atmospheric drag. How long did it take him to travel that 1000 m ?

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Latest Physics Questions

Tony Stark tests the limits of his power suit by flying straight upwards. He begins at
rest and his net acceleration is straight up until he runs out of power at 1000
m . We will ignore atmospheric drag.
How long did it take him to travel that 1000 m ?