GROUP # 4. Check the Model First, let's check the value of the velocity you determined. QUESTION 3: Convert your result into miles per hour. A similar roller coaster with height 70 m has a maximum speed of 80 mph. Is your result realistic? Now, let's account for the effect of the resistive force acting on the cart. Is it necessary to be included, or can it be left out? If you incorporated the resistive force in your original answer, use this space to find the velocity of the cart if there were no resistive force. You may want to make a new LOL diagram and energy model. If you did not use the resistive force before, you can skip this box. Group Worksheet | Page 7 of 1If you did not incorporate the resistive force in your original answer, use this space to find the velocity of the cart with the resistive force. You may want to make a new LOL diagram and energy model. If you did use the resistive force before, you can skip this box. ? QUESTION 4: Is it justifiable to ignore the restive interactions between the cart with the track and air? To see, find the percent difference between the two velocities. If there's less than 10% difference between them, the resistive interactions can probably be ignored.GROUP # 5. Revisiting with a New Question: Maximum Speed The minimum launch speed might be the safest, but it might be more fun if the cart is traveling faster. velocity be? Say the designers want the cart to travel at 25 m/s at the top of the hill. Now how fast must the launch Draw the LOL diagram for this new scenario. Incorporate the resistive interactions if needed (as justified above). Write the corresponding energy model. Solve the energy model for the launch speed, as an equation.The danger of the faster speed at launch comes, in part, from the higher acceleration needed. If the launcher will take 1.1 s to take the cart from 0 m/s to the launch speed, determine the acceleration value for the slowest launch speed and this faster launch speed. QUESTION 5: Is the faster launch speed too dangerous? Accelerations greater than 40 m/$2 can be dangerous to children.GROUP # 6. Revisiting with a New Question: Added Mass A roller coaster that only takes empty carts up a hill is not very entertaining, however. How does the launch velocity change if the mass in the cart changes, as people sit in it? Let's recap what you've determined: Does the resistive interaction need to be included? [YES/NO] Can the cart be fast at the top, or for safety reasons should you work with the slower speed (where it's zero at the top of the hill)? [FAST/SLOW] For the situation you've determined, rewrite your energy model here, and show your result for the launch velocity as an equation. There's no new math here, just rewriting it for your reference. The cart can fit 8 people. Assume that all eight are adults, with an average mass of 80 kg. Using the values given, determine the launch velocity needed for the heavier cart.QUESTION 6: Is this result surprising? Describe some practical effects of this result-how ? would the roller coaster launch have to change to take into account the higher mass, or would it not have to change anything