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A drag racer starts her car from rest and accelerates at 10.0 m/s2 for the entire distance of 400m (1/4 mile). (a) How long did it take the car to travel this distance? (b) What is the speed at the end of the run?
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A drag racer starts her car from rest and accelerates at 10.0 m/s2 for...
Calculating Time and Speed of a Drag Racer
Given:
Acceleration (a) = 10.0 m/s²
Distance (d) = 400m
(a) Calculating Time:
To calculate the time taken by the drag racer to travel 400m, we will use the following kinematic formula:
d = 0.5 * a * t²
Where,
d = distance
a = acceleration
t = time
Rearranging the formula, we get:
t = √(2d/a)
Now, substituting the given values, we get:
t = √(2 * 400/10)
t = √80
t = 8.94 seconds
Therefore, it took the drag racer 8.94 seconds to travel 400m.
(b) Calculating Final Speed:
To calculate the final speed of the drag racer, we will use the following kinematic formula:
v² = u² + 2ad
Where,
v = final velocity
u = initial velocity (which is 0 in this case)
a = acceleration
d = distance
Rearranging the formula, we get:
v = √(u² + 2ad)
Now, substituting the given values, we get:
v = √(0² + 2 * 10 * 400)
v = √8000
v = 89.44 m/s
Therefore, the final speed of the drag racer is 89.44 m/s.
Explanation:
The drag racer starts from rest and accelerates at a constant rate of 10.0 m/s² for a distance of 400m. Using the kinematic formulas, we can calculate the time taken by the drag racer to travel this distance, which is 8.94 seconds. We can also calculate the final speed of the drag racer using the same formulas, which is 89.44 m/s. This means that the drag racer is traveling at a very high speed at the end of the run.
Given:
Acceleration (a) = 10.0 m/s²
Distance (d) = 400m
(a) Calculating Time:
To calculate the time taken by the drag racer to travel 400m, we will use the following kinematic formula:
d = 0.5 * a * t²
Where,
d = distance
a = acceleration
t = time
Rearranging the formula, we get:
t = √(2d/a)
Now, substituting the given values, we get:
t = √(2 * 400/10)
t = √80
t = 8.94 seconds
Therefore, it took the drag racer 8.94 seconds to travel 400m.
(b) Calculating Final Speed:
To calculate the final speed of the drag racer, we will use the following kinematic formula:
v² = u² + 2ad
Where,
v = final velocity
u = initial velocity (which is 0 in this case)
a = acceleration
d = distance
Rearranging the formula, we get:
v = √(u² + 2ad)
Now, substituting the given values, we get:
v = √(0² + 2 * 10 * 400)
v = √8000
v = 89.44 m/s
Therefore, the final speed of the drag racer is 89.44 m/s.
Explanation:
The drag racer starts from rest and accelerates at a constant rate of 10.0 m/s² for a distance of 400m. Using the kinematic formulas, we can calculate the time taken by the drag racer to travel this distance, which is 8.94 seconds. We can also calculate the final speed of the drag racer using the same formulas, which is 89.44 m/s. This means that the drag racer is traveling at a very high speed at the end of the run.
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A drag racer starts her car from rest and accelerates at 10.0 m/s2 for the entire distance of 400m (1/4 mile). (a) How long did it take the car to travel this distance? (b) What is the speed at the end of the run?
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A drag racer starts her car from rest and accelerates at 10.0 m/s2 for the entire distance of 400m (1/4 mile). (a) How long did it take the car to travel this distance? (b) What is the speed at the end of the run? for Class 1 2024 is part of Class 1 preparation. The Question and answers have been prepared according to the Class 1 exam syllabus. Information about A drag racer starts her car from rest and accelerates at 10.0 m/s2 for the entire distance of 400m (1/4 mile). (a) How long did it take the car to travel this distance? (b) What is the speed at the end of the run? covers all topics & solutions for Class 1 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A drag racer starts her car from rest and accelerates at 10.0 m/s2 for the entire distance of 400m (1/4 mile). (a) How long did it take the car to travel this distance? (b) What is the speed at the end of the run?.
A drag racer starts her car from rest and accelerates at 10.0 m/s2 for the entire distance of 400m (1/4 mile). (a) How long did it take the car to travel this distance? (b) What is the speed at the end of the run? for Class 1 2024 is part of Class 1 preparation. The Question and answers have been prepared according to the Class 1 exam syllabus. Information about A drag racer starts her car from rest and accelerates at 10.0 m/s2 for the entire distance of 400m (1/4 mile). (a) How long did it take the car to travel this distance? (b) What is the speed at the end of the run? covers all topics & solutions for Class 1 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A drag racer starts her car from rest and accelerates at 10.0 m/s2 for the entire distance of 400m (1/4 mile). (a) How long did it take the car to travel this distance? (b) What is the speed at the end of the run?.
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