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Chapter 2: Q.79 (page 63)

In Problem 79, you are given the kinematic equation or

equations that are used to solve a problem. For each of these, you are to:

a. Write a realistic problem for which this is the correct equation(s).

Be sure that the answer your problem requests is consistent with

the equation(s) given.

b. Draw the pictorial representation for your problem.

c. Finish the solution of the problem.

x1=0m+0m/s2(5s-0s)+12(20m/s2)(5s-0s)2

x2=x1+v1x(10s-5s)

Short Answer

Expert verified

The kinematic equation of motion of an object at constant acceleration is given by:

vfs=vis+asΔtsf=si+vsΔt+12asΔtvfs2=vis2+2asΔs

Step by step solution

01

The realistic problem to represent the given equations:

Consider a battleship fires a missile from rest. The missile accelerates uniformly at 20m/s2 for 5 s till it reaches its maximum peak velocity. It maintains the peak velocity. What is the distance that the missile has travelled after 10 s?

02

Pictorial presentation of the given equations:

03

Solving the given equations:

Solve the equation for v1x:

v1x=0+20(5-0)=100m/s

Solve the equation for x1:

x1=0+0(5-0)+12×20×(5-0)2 =250m

Solve the equation for x2:

x2=250+10010-5=750m

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Most popular questions from this chapter

A lead ball is dropped into a lake from a diving board 5.0 m

above the water. After entering the water, it sinks to the bottom with a constant velocity equal to the velocity with which it hit the water. The ball reaches the bottom 3.0 s after it is released. How deep is the lake?

A rock is dropped from the top of a tall building. The rock’s displacement in the last second before it hits the ground is 45% of the entire distance it falls. How tall is the building?

A ball rolls along the smooth track shown in FIGURE P2.43. Each segment of the track is straight, and the ball passes smoothly from one segment to the next without changing speed or leaving the track. Draw three vertically stacked graphs showing position, velocity, and acceleration versus time. Each graph should have the same time axis, and the proportions of the graph should be qualitatively correct. Assume that the ball has enough speed to reach the top.

FIGURE P2.46 shows a set of kinematic graphs for a ball rolling on a track. All segments of the track are straight lines, but some may be tilted. Draw a picture of the track and also indicate the ball’s initial condition.

A particle’s velocity is described by the function vx=t2-7t+10ms, where t is in s. a. At what times does the particle reach its turning points? b. What is the particle’s acceleration at each of the turning points?

See all solutions

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