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Solved: Dragsters can actually reach a top speed of 145
Chapter 2, Problem 37(choose chapter or problem)
QUESTION:
Problem 37PE
Dragsters can actually reach a top speed of 145 m/s in only 4.45 s—considerably less time than given in Example 2.10 and Example 2.11. (a) Calculate the average acceleration for such a dragster. (b) Find the final velocity of this dragster starting from rest and accelerating at the rate found in (a) for 402 m (a quarter mile) without using any information on time. (c) Why is the final velocity greater than that used to find the average acceleration? Hint: Consider whether the assumption of constant acceleration is valid for a dragster. If not, discuss whether the acceleration would be greater at the beginning or end of the run and what effect that would have on the final velocity.Example 2.10: Calculating Displacement of an Accelerating Object: DragstersDragsters can achieve average accelerations of 26.0 m/s2 . Suppose such a dragster accelerates from rest at this rate for 5.56 s. How far does it travel in this time?Example 2.11: Calculating Final Velocity: DragstersCalculate the final velocity of the dragster in Example 2.10 without using information about time.
Questions & Answers
QUESTION:
Problem 37PE
Dragsters can actually reach a top speed of 145 m/s in only 4.45 s—considerably less time than given in Example 2.10 and Example 2.11. (a) Calculate the average acceleration for such a dragster. (b) Find the final velocity of this dragster starting from rest and accelerating at the rate found in (a) for 402 m (a quarter mile) without using any information on time. (c) Why is the final velocity greater than that used to find the average acceleration? Hint: Consider whether the assumption of constant acceleration is valid for a dragster. If not, discuss whether the acceleration would be greater at the beginning or end of the run and what effect that would have on the final velocity.Example 2.10: Calculating Displacement of an Accelerating Object: DragstersDragsters can achieve average accelerations of 26.0 m/s2 . Suppose such a dragster accelerates from rest at this rate for 5.56 s. How far does it travel in this time?Example 2.11: Calculating Final Velocity: DragstersCalculate the final velocity of the dragster in Example 2.10 without using information about time.
ANSWER:
Step 1 of 4
The initial and final velocity of the dragster and the time taken to achieve the final velocity is given, calculate the acceleration. Then the distance traveled by the dragstar is given, calculate the final velocity if the dragstar continue to travel with the same acceleration. Then discuss why the final velocity of the dragster is greater considering the validity of the assumption that the dragster is moving with constant acceleration.