Assignment 1: Kinematics in 2 and 3 Dimensions Due: 2:00am on Saturday, September 4, 2010 Note: To understand how points are awarded, read your instructor's Grading Policy. [Switch to Standard Assignment View] Arrow Hits Apple An arrow is shot at an angle of above the horizontal. The arrow hits a tree a horizontal distance away, at the same height above the ground as it was shot. Use for the magnitude of the acceleration due to gravity. Part A Find , the time that the arrow spends in the air. Hint A.1 Find the initial upward component of velocity in terms of D. Hint not displayed Hint A.2 Find the time of flight in terms of the initial vertical component of velocity. Hint not displayed Hint A.3 …show more content…
Correct A Wild Ride A car in a roller coaster moves along a track that consists of a sequence of ups and downs. Let the x axis be parallel to the ground and the positive y axis point upward. In the time interval from to s, the trajectory of the car along a certain section of the track is given by , where is a positive dimensionless constant. Part A At Hint A.1 is the roller coaster car ascending or descending? How to approach the problem Hint not displayed Hint A.2 Find the vertical component of the velocity of the car Hint not displayed ANSWER: ascending descending Correct Part B Derive a general expression for the speed Hint B.1 of the car. How to approach the problem Hint not displayed Hint B.2 Magnitude of a vector Hint not displayed Hint B.3 Find the components of the velocity of the car Hint B.3 Find the components of the velocity of the car Hint not displayed Express your answer in meters per second in terms of and . ANSWER: = Correct Part C The roller coaster is designed according to safety regulations that prohibit the speed of the car from exceeding . Find the maximum value of allowed by these regulations. Hint C.1 How to approach the problem To comply with the regulations, the speed of the car cannot exceed the given safety limit at any time. Thus, you need to determine what the
On the contrary, at 15 cm high when the car rolled for 60 cm it travelled at an average rate of 38.5 cm/ s. Finally, at 10 cm high, after rolling 90 cm, the toy car was travelling at and average rate of 35 cm/s. On the contrary, the car that started on the ramp 15 cm high, after rolling for 90 cm, was travelling 50.3 cm/s. The data clearly shows a positive trend because when the height of
A roller coaster ride is a thrilling awesome experience which involves many energies in the roller coaster itself. The ride/roller coaster often begins as a chain and motor and once it's on the top gravity takes over. At the
Roller coasters are driven almost entirely by inertial, gravitational and centripetal forces. Amusement parks keep building faster and more complex roller coasters, but the fundamental principles at work remain the same.
3. Explain the basic ideas that govern the design and operation of a roller coaster.
The cars on a typical roller coaster are not self-powered. A standard full circuit coaster is pulled up with a chain or cable along the lift hill to the first peak of the coaster track. The potential energy accumulated by the rise in height is transferred to kinetic energy as the cars race down the first downward slope. Kinetic energy is then converted back into potential energy as the train moves up again to the second peak. This hill is necessarily lower, as some mechanical energy is lost to friction. Not all rides feature a lift hill, however. The train may be set into motion by
Lights, cameras, action! This new coaster is gonna have everyone running towards the entrance! There is a new coaster coming to town called the Hollywood Coaster of Fame! Hollywood Coaster of Fame is a coaster based on the bright lights and stardom of Hollywood. Riders will experience a speed from 0-75 miles per hour which will shoot the riders up a 195-foot hill. Before dropping down the hill the riders will feel a bit of suspense on the very top of the hill, which is where the potential energy is the highest. Then riders will feel the weightlessness of dropping down the 195-foot hill into the first loop where gravity pushes down into their seats. The momentum of the loop will take them around a sharp turn making
3- In the large American universities, there is a limited opportunities for faculty to work with individual students.
and are designed out of different materials like wood and steel. Although roller coasters are fun and exciting, the questions, what allows them to twist and turn, go up and down hills at a fairly good speed? Why do they not fall off of the track when it goes through a loop? The answer to these questions and others about roller coasters lies in the application
Near the top of the ramp, the car’s speed was around 102 centimeters per second. In the middle of the ramp, the car’s speed was around 156 centimeters per second and near the end of the ramp, the car’s speed was around 196 centimeters per second. No one in the group pushed the car at any time. The slope of the ramp was also constant the entire time. There had to be an explanation for why the car’s speed was faster as the car went on. What we came up with was that as the car traveled down the ramp, it picked up speed. Once we plotted these points on the graph, it was extremely evident that this was in fact what had happened. The graph clearly showed that the speed of the car was increasing as it went down the
In order for the coasters to get around a loop safely they must approach it with a speed high enough to counteract the force acting downwards on the carts to prevent it from falling and to continue around the track. This speed is called the minimum speed, the point where the velocity at the top of the loop is large enough to cause a centripetal force in the opposite direction to counteract the weight acting downwards.
The acceleration increases as time gets greater for both trains. I claim that the train started at (0,0), and as time increases the position of the train started to increase. When their was a
What do you think about when you're on a roller coaster? Do you ever think how you're being pulled up this huge hill or down the hill?
4. A car weighing 12 kN has speed of 20 ms-1. Find its kinetic energy
Using (Vf= Vi + at) told us our velocity from there and it went from 1.4 m/s to 1.9 m/s to 2.2 m/s. Because of The results confirmed my hypothesis of, the lighter the weight, the faster the car.
If there is a car launched from the bottom of an incline and it goes up until reaching the highest point, then it reverses its direction. To ensure the safety under this circumstance, the accelerations of every stage need to be