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Chapter 1: Q107P (page 1)

Question: The head of a rattlesnake can accelerate at 50 m/s2in striking a victim. If a car could do as well, how long would it take to reach a speed of 100 km from rest?

Short Answer

Expert verified

The time required by car to reach the speed of is 0.556 s.

Step by step solution

01

Given data

Acceleration,

Initial velocity,

Final velocity,

02

: Understanding the kinematic equations Kinematic equations describe the motion of an object with constant acceleration. These equations can be used to determine the various physical quantities.  

The expression for the kinematic equations of motion are given as follows:

n=vo+at 鈥� (i)

Here, vo is the initial velocity, t is the time, a is the acceleration.

03

: Determination of the time taken to reach the final speed.

Concert the final velocity from km/h to m/s as,

v=100kmh脳1000m1km脳1h3600s=27.78m/s

Using equation (i), the time is calculated as follows:

t=v-v0a=27.78m/s-0m/s50m/s2=0.556s

Thus The time required by car to reach the speed100km/h is0.556s .

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