A certain type of automobile can accelerate approximately as shown in the velocity–time

Chapter 2, Problem 52P

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QUESTION:

(II) A certain type of automobile can accelerate approximately as shown in the velocity-time graph of Fig. 2-35. (The short flat spots in the curve represent shifting of the gears.) (a) Estimate the average acceleration of the car in second gear and in fourth gear. (b) Estimate how far the car traveled while in fourth gear.

Figure 2-35 Problems 52 and 53. The velocity of an

automobile as a function of time, starting from a dead

stop. The jumps in the curve represent gear shifts.

Questions & Answers

QUESTION:

(II) A certain type of automobile can accelerate approximately as shown in the velocity-time graph of Fig. 2-35. (The short flat spots in the curve represent shifting of the gears.) (a) Estimate the average acceleration of the car in second gear and in fourth gear. (b) Estimate how far the car traveled while in fourth gear.

Figure 2-35 Problems 52 and 53. The velocity of an

automobile as a function of time, starting from a dead

stop. The jumps in the curve represent gear shifts.

ANSWER:

Solution 52P:

Step 1 of 3:-

In this problem, we have to find the average acceleration of te car in 2nd and 4th gear and also the distance covered in 4th gear.

a)

The average acceleration is,

------------------(1)

.

So, the average acceleration in 2nd gear is: .

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