Acceleration and Distance Calculation Practice
1. Determining the Distance Covered by a Jet Before Takeoff
Given Data:
Initial Velocity (u) = 0 m/s
Acceleration (a) = 6.50 m/s²
Time (t) = 50.25 seconds
Formula Used:
Distance = Initial Velocity × Time + 0.5 × Acceleration × Time²
Calculation:
Since the jet starts from rest, the initial velocity is 0. Therefore, the distance covered before takeoff can be calculated as follows:
Distance = 0 × 50.25 + 0.5 × 6.50 × (50.25)² = 8193.38 meters (rounded to two decimal places)
Result:
The jet covers a distance of 8193.38 meters before taking off.
2. Determining the Acceleration of a Car and its Position at 14 Seconds
Given Data:
Initial Velocity (u) = 0 m/s
Time (t) = 7.5 seconds
Distance (s) = 15 meters
Time (t₁) = 14 seconds
Formula Used:
Distance = 0.5 × Acceleration × Time²
Final Velocity = Initial Velocity + Acceleration × Time
Calculation:
1. To determine the acceleration of the car:
Acceleration = 15 / (0.5 × 7.5²) = 0.44 m/s² (rounded to two decimal places)
2. To determine the car's position at 14 seconds:
Distance = 0 + 0.5 × 0.44 × (14)² = 43.68 meters (rounded to two decimal places)
Results:
The acceleration of the car is 0.44 m/s².
The car is 43.68 meters away from its starting point at 14 seconds.
1. How can the distance covered by a jet before takeoff be calculated? 2. What is the acceleration of the car in this scenario? 3. Where is the car located at 14 seconds? 1. The distance covered by a jet before takeoff can be calculated using the formula: Distance = Initial Velocity × Time + 0.5 × Acceleration × Time². 2. The acceleration of the car in this scenario is 0.44 m/s². 3. The car is located 43.68 meters away from its starting point at 14 seconds.