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Chapter 4: Q. 7 (page 105)

7. A rocket-powered hockey puck moves on a horizontal frictionless table. FIGURE EX4.7 shows graphs of vxand vy, the x-and y-components of the puck's velocity. The puck starts at the origin. What is the magnitude of the puck's acceleration at ?

Short Answer

Expert verified

The magnitude of the acceleration is2.2m/s2

Step by step solution

01

Step 1. Given information

The velocity in x-direction change from -10 m/s to 10 m/s in 5 second

The velocity in y-direction change from 0 m/s to 10 m/s in 10 second

02

Step 2. Explanation

The acceleration in x-direction is

ax=dvxdt=螖vx螖t=(鈭�10m/s鈭�10m/s)10s鈭�0s=鈭�2.0m/s2

The acceleration in y-direction is

ay=(10m/s鈭�0m/s)(10s鈭�0s)=1.0m/s2

The magnitude of the acceleration is .

a=ax2+ay2=2.2m/s2

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