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

Given data

Acceleration,

Initial velocity,

Final velocity,

: 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:

$n = v_{o} + a t$ … (i)

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

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

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

$v = 100 \frac{km}{h} \times \frac{1000 m}{1 km} \times \frac{1 h}{3600 s} = 27.78 m / s$

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

$t = \frac{v - v_{0}}{a} = \frac{27.78 m/s-0m/s}{50 {m/s}^{2}} = 0.556 s$

Thus The time required by car to reach the speed $100 km/h$ is $0.556 s$ .

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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

Step by step solution

Given data

: 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.

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

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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

Step by step solution

Given data

: 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.

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

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Further Mechanics and Thermal Physics

Force

Rotational Dynamics

Physics of Motion

Translational Dynamics

Nuclear Physics

Study anywhere. Anytime. Across all devices.

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?