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Chapter 2: Q84P (page 38)

A rocket driven sled running on a straight, level track is used to investigate the effects of large accelerations on humans. One such sled can attain a speed of 1600 km/hin 1.8 s, starting from rest. Find (a)the acceleration (assumed constant) in terms of g(b) the distance traveled.

Short Answer

Expert verified
  1. The acceleration of the sled is 25 g .
  2. The distance traveled by the sled is 400 m .

Step by step solution

01

Given information

vf=1600km/h=444.44m/st=1.8s

02

To understand the concept of kinematic equation of motion

The problem deals with the kinematic equation of motion. Kinematics is the study of how a system of bodies moves without taking into account the forces or potential fields that influence motion. The equations which are used in the study are known as kinematic equations of motion.

Formula:

The final velocity is given by,

vf=v0+at

The displacement is given by,

x=v0t+12at2

03

a): Calculation for acceleration

According to the kinematic equations,

vf=v0+at444.44=0+a1.8.a=246.99.8ms2=25.19~25g

Hence, the acceleration of sled would be 25g.

04

a): Calculation for distance traveled by the sled

According to the kinematic equations,

x=vit+12at2x=12246.91.82x=400m

So, the distance traveled by the sled would be 400 m

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