Chapter 1: Q.43 (page 30)

David is driving a steady 30 m/s when he passes Tina, who is sitting in her car at rest. Tina begins to accelerate at a steady $2.0 m / s^{2}$ at the instant when David passes. How far does Tina drive before passing David?

Short Answer

Expert verified

The kinematic equations of motion at constant acceleration is given by:

$v_{f s} = v_{i s} + a_{s} Δ t s_{f} = s_{i} + v_{s} Δ t + \frac{1}{2} a_{s} {(Δ t)}^{2} {v_{f s}}^{2} = {v_{i s}}^{2} + 2 a_{s} Δ s$

Tina drives 900 m before passing David.

Step by step solution

Draw the pictorial diagram and the motion diagram:

The following steps have to be taken for the pictorial presentation:

Draw a motion diagram.

Establish coordinates.

Sketch the situation.

Define symbols.

List knowns.

Identify desired unknown.

Calculating the distance Tina drove before passing David:

The velocity at which the David is travelling is given by v₁=30 m/s.

The distance travelled is given by s=30t where t is the time taken.

The time taken for David to travel when he passes Tina is given by the kinematic equation of motion:

$s = u t + \frac{1}{2} a t^{2} 30 t = 0 + \frac{1}{2} 2 t^{2} t = 0 s o r 30 s$

The velocity is defined as the rate of change of displacement with respect to time.

The distance traveled by Tina is given by :

$s = 0 + \frac{1}{2} \times 2 m / s^{2} \times 30^{2} = 900 m$

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David is driving a steady 30 m/s when he passes Tina, who is sitting in her car at rest. Tina begins to accelerate at a steady $2.0 m / s^{2}$ at the instant when David passes. How far does Tina drive before passing David?

Short Answer

Step by step solution

Draw the pictorial diagram and the motion diagram:

Calculating the distance Tina drove before passing David:

One App. One Place for Learning.

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David is driving a steady 30 m/s when he passes Tina, who is sitting in her car at rest. Tina begins to accelerate at a steady 2.0m/s2at the instant when David passes. How far does Tina drive before passing David?

Short Answer

Step by step solution

Draw the pictorial diagram and the motion diagram:

Calculating the distance Tina drove before passing David:

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Force

Famous Physicists

Magnetism and Electromagnetic Induction

Thermodynamics

Circular Motion and Gravitation

Translational Dynamics

Study anywhere. Anytime. Across all devices.

David is driving a steady 30 m/s when he passes Tina, who is sitting in her car at rest. Tina begins to accelerate at a steady $2.0 m / s^{2}$ at the instant when David passes. How far does Tina drive before passing David?