Question

The rocket-driven sled Sonic Wind No. 2, used for investigating the physiological effects of large accelerations, runs on a straight, level track 1070 m (3500 ft) long. Starting from rest, it can reach a speed of 224 m>s1500 mi>h2 in 0.900 s. (a) Compute the acceleration in m>s 2 , assuming that it is constant. (b) What is the ratio of this acceleration to that of a freely falling body (g)

Answer 1

`(a)a_(x)=248.9m/s^2\\(b)ratio=25.4`

Step-by-step explanation:

Given data

Final Speed=224 m/s

initial speed=0 m/s

Distance=1070m

Time=0.900s

For Part (a) Acceleration

This is analysis model for particle under constant acceleration

In order to calculate the acceleration we will use following equations

`a_(x)=(v_(xf)-v_(xi))/(t)`

Substitute the given values

`a_(x)=(224m/s-0m/s)/(0.900s)\\ a_(x)=248.9m/s^2`

For Part (B) the ratio of this acceleration to that of a freely falling body (g)

The ratio between both acceleration is given below as:

`ratio=(a_(x))/(a_(y))\\ where\\a_(y)=g=9.8m/s^2\\So\\ratio=(a_(x))/(g)\\ ratio=(248.9m/s^2)/(9.8m/s^2) \\ratio=25.4`