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.