Math Problem Statement

What is the speed of a rocket that travels 9000 meters in 12.12 seconds? What is the speed of a jet plane that travels 528 meters in 4 seconds? After an impact involving a satellite, how far has a ship traveled at a speed of 95 m/s in 17 seconds?

Solution

The worksheet you've uploaded is a Velocity & Acceleration Worksheet, focusing on problems that involve equations for velocity and acceleration. Let's go through the first few problems step-by-step.

Problem 1:

Question: What is the speed of a rocket that travels 9000 meters in 12.12 seconds?

Solution:

  • Speed is calculated using the formula:
    Speed=DistanceTime=9000m12.12s=742.57m/s\text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{9000 \, \text{m}}{12.12 \, \text{s}} = 742.57 \, \text{m/s}

Problem 2:

Question: What is the speed of a jet plane that travels 528 meters in 4 seconds?

Solution:

  • Speed is again:
    Speed=528m4s=132m/s\text{Speed} = \frac{528 \, \text{m}}{4 \, \text{s}} = 132 \, \text{m/s}

Problem 3:

Question: After an impact involving a 2-mu-farsandering satellite, a space ship leaves the surface of the satellite at a speed of 95 m/s. After 17 seconds, how far has the ship traveled?

Solution:

  • Using the formula for distance with constant speed:
    Distance=Speed×Time=95m/s×17s=1615m\text{Distance} = \text{Speed} \times \text{Time} = 95 \, \text{m/s} \times 17 \, \text{s} = 1615 \, \text{m}

Would you like detailed explanations for more problems or any clarifications?
Here are five related questions to expand your understanding:

  1. How would you calculate acceleration if you knew the initial and final speeds of an object?
  2. Can speed and velocity have different values in some situations?
  3. What is the difference between average speed and instantaneous speed?
  4. How would you calculate the distance traveled by an object that is accelerating at a constant rate?
  5. How can you derive the equation for velocity from a position-time graph?

Tip: Always keep track of units when solving physics problems, especially when switching between meters, kilometers, seconds, and minutes!

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Kinematics
Speed
Velocity
Distance-Time Relationship

Formulas

Speed = Distance / Time
Distance = Speed * Time

Theorems

-

Suitable Grade Level

Grades 8-10