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Chapter 2: Q17. (page 43)

A sports car accelerates from rest to 95 km/h in 4.3 s. What is its average acceleration in m/s2?

Short Answer

Expert verified

The acceleration of the car is 6.14 ms2.

Step by step solution

01

Step 1. Conversion of the unit and the rule to find the acceleration

The acceleration of the body is defined as the derivative of the velocity of a body with respect to time. The unit of acceleration is m/s2.

Given data.

The initial velocity of the car was v1 = 0as it started from rest.

The final velocity of the car is v2 = 95 kmh.

Now,

v2 = 95 kmh= 95 kmh × 1000 m1 km × 1 h3600 s= 26.4 ms

The time taken by the car for this motion is Δt = 4.3 s.

Rule.

You know that acceleration is

role="math" localid="1642764168067" a = v2 - v1Δt…(i).

02

Step 2. Calculation of the acceleration 

Now, substituting all the values in equation (i),

a = 26.4 ms -04.3 s= 6.14 ms2

Therefore, the acceleration of the car is 6.14 ms2.

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Most popular questions from this chapter

For an object falling freely from rest, show that the distance traveled during each successive second increases in the ratio of successive odd integers (1, 3, 5, etc.). (This was first shown by Galileo.) See Figs. 2–19 and 2–22.

A ball player catches a ball 3.4 s after throwing it vertically upward. With what speed did he throw it, and what height did it reach?

A car is behind a truck going18m/son the highway. The car’s driver looks for an opportunity to pass, guessing that his car can accelerate at0.60m/s2and that he has to cover the 20-m length of the truck, plus 10-m extra space at the rear of the truck and 10 m more at the front of it. In the oncoming lane, he sees a car approaching, probably at the speed limit,25m/s(55 mph). He estimates that the car is about 500 m away. Should he attempt the pass? Give details.

Question: A ball is thrown straight up. What are the velocity and acceleration of the ball at the highest point in its path?

(a) v=0,a=0.

(b) v=0,a=9.8m/s2up.

(c) v=0,a=9.8m/s2down.

(d) v=9.8m/sup,a=0.

(e) v=9.8m/sdown,a=0.

Sketch the v vs t graph for the object whose displacement as a function of time is given by Fig. 2-44.

Figure 2-44 Problems 57,58 and 59
See all solutions

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