An airplane has a touchdown velocity of 75.0 knots and comes to rest in 400 ft. What is the airplane's average deceleration? How long does it take the plane to stop? [0.869 knot = 1.47ft/s]

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Chapter1: Units, Trigonometry. And Vectors
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v = d = df – di . a = v = vf – vi .
t t f – t I t t f – ti
vf = vi + a t v = ½ ( vf + vi )
d = ½ ( vf + vi ) t d = vi t + ½ a t2
vf2 = vi2 + 2 a d

 

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### Dynamics and Kinematics Problems

#### 1. Airplane Takeoff Velocity
**Problem 15:**
- An airplane travels 1000 ft at a constant acceleration while taking off. If it starts from rest and takes off in 25.0 s, what is its takeoff velocity?

#### 2. Car Velocity and Position
**Problem 17:**
- A car starts from rest and acquires a velocity of 20.0 mph in 10.0 s. Determine its location and velocity at 10.0, 15.0, 20.0, and 25.0 s.

#### 3. Electron Acceleration
**Problem 19:**
- An electron in a vacuum tube acquires a velocity of \(5.3 \times 10^8\) cm/s over a distance of 0.25 cm. Find the acceleration of the electron.

#### 4. Airplane Deceleration
**Problem 21:**
- An airplane has a touchdown velocity of 75.0 knots and comes to rest in 400 ft. Calculate the airplane's average deceleration and the time taken to stop. 
- Note: \(0.869 \text{ knot} = 1.47 \text{ ft/s}\)

#### 5. Car Stopping Distance
**Problem 23:**
- The speedometer of a car reads 60.0 mph when the brakes are applied. The car comes to rest in 4.55 s. Calculate the distance traveled before coming to rest.

#### 6. Reaction Time and Stopping Distance
**Problem 25:**
- A driver traveling at 25.0 mph notices a red light at an intersection. With a reaction time of 0.600 s and a car deceleration of \(18.0 \text{ ft/s}^2\), find the stopping distance. What would the stopping distance be if the car were moving at 50.0 mph?
Transcribed Image Text:### Dynamics and Kinematics Problems #### 1. Airplane Takeoff Velocity **Problem 15:** - An airplane travels 1000 ft at a constant acceleration while taking off. If it starts from rest and takes off in 25.0 s, what is its takeoff velocity? #### 2. Car Velocity and Position **Problem 17:** - A car starts from rest and acquires a velocity of 20.0 mph in 10.0 s. Determine its location and velocity at 10.0, 15.0, 20.0, and 25.0 s. #### 3. Electron Acceleration **Problem 19:** - An electron in a vacuum tube acquires a velocity of \(5.3 \times 10^8\) cm/s over a distance of 0.25 cm. Find the acceleration of the electron. #### 4. Airplane Deceleration **Problem 21:** - An airplane has a touchdown velocity of 75.0 knots and comes to rest in 400 ft. Calculate the airplane's average deceleration and the time taken to stop. - Note: \(0.869 \text{ knot} = 1.47 \text{ ft/s}\) #### 5. Car Stopping Distance **Problem 23:** - The speedometer of a car reads 60.0 mph when the brakes are applied. The car comes to rest in 4.55 s. Calculate the distance traveled before coming to rest. #### 6. Reaction Time and Stopping Distance **Problem 25:** - A driver traveling at 25.0 mph notices a red light at an intersection. With a reaction time of 0.600 s and a car deceleration of \(18.0 \text{ ft/s}^2\), find the stopping distance. What would the stopping distance be if the car were moving at 50.0 mph?
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