Physics Homework: Car & Rocket Motion Analysis

In summary, the first conversation discusses a car parked on a cliff with an incline of 21 degrees below the horizontal. The car rolls down the incline with a constant acceleration of 3.37 m/sE2 for a distance of 70.0 m before falling into the ocean, which is 40.0 m below the cliff. The car's position relative to the base of the cliff and the time it spends in the air are requested.The second conversation involves a rocket launched at an angle of 58.0 degrees above the horizontal with an initial speed of 96 m/s. After 3.00 seconds, the rocket's engines fail and it moves as a projectile. The maximum altitude reached, total time of
  • #1
kbbate9850
1
0
1. A car is parked on a cliff overlooking the ocean on an incline that makes an angle of 21 degrees below the horizontal. The driver leaves the car in neutral and it rolls from rest down the incline with a constant acceleration of 3.37 m/sE2 for a distance of 70.0 m to the edge of the cliff, which is 40.0 m above the ocean. Find the car's position relative to the base of the cliff when the car lands in the ocean in meters. Find the length of time the car is in the air in seconds.

2. A rocket is launched at an angle of 58.0 degrees above the horizontal with an initial speed of 96 m/s. The rocket moves for 3.00 s along its initial line of motion with an acceleration of 28.0 m/sE2. At this time, its engines fail and the rocket proceeds to move as a projectile. Find the maximum altitude reached by the rocket in meters. Find its total time of flight in seconds. Find its horizontal range in meters.

I figured out the x and y components in the first one but i don't know where to go from there. The situation is about the same for the next one.
 
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  • #2
Show your work and you'll get plenty of help.
 
  • #3
kbbate9850 are you familiar with the Kinematic equations?
 

1. How do you calculate the acceleration of a car?

The acceleration of a car can be calculated by dividing the change in velocity by the change in time. This can be represented by the formula: acceleration = (final velocity - initial velocity) / time.

2. What is the difference between speed and velocity?

Speed is a measure of how fast an object is moving, while velocity is a measure of how fast an object is moving in a specific direction. Speed is a scalar quantity, while velocity is a vector quantity.

3. How does air resistance affect the motion of a rocket?

Air resistance, also known as drag, can have a significant impact on the motion of a rocket. As the rocket moves through the air, it encounters resistance which can slow it down and change its trajectory. This is why rockets are designed to be as aerodynamic as possible to minimize the effects of air resistance.

4. What is Newton's third law of motion?

Newton's third law of motion states that for every action, there is an equal and opposite reaction. This means that when two objects interact, the forces they exert on each other are equal in magnitude and opposite in direction.

5. How does mass affect the motion of an object?

The mass of an object has a direct effect on its motion. A larger mass means that more force is required to accelerate the object, while a smaller mass requires less force. This is described by Newton's second law of motion, which states that force is equal to mass multiplied by acceleration.

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