v⃗f^2=v⃗i^2+2 a Δd⃗ Δd⃗=v⃗iΔ t+(1)/(2)a⃗Δ t^2 Page...

\[ \vec{v}_{f}^{2}=\vec{v}_{i}^{2}+2 a \Delta \vec{d} \quad \Delta \vec{d}=\vec{v}_{i} \Delta t+\frac{1}{2} \vec{a} \Delta t^{2} \] Page 3: Question 16 (1 point) If two forces that are identical in strength but exactly opposite in direction act on the same object, that objectimust necessarily be motionless. True False Previous Page Next Page Page 16 of 19

Starting at time $t=0$, net force $F_{1}$ is applied to an object that is initially at rest. (a) If the force remains constant with magnitude $F_{1}$ while the object moves a distance $d$, the final speed of the object is $v_{1} .$ What is the final speed $v_{2}$ (in terms of $v_{1}$ ) if the net force is $F_{2}=2 F_{1}$ and the object moves the same distance $d$ while the force is being applied? (b) If the force $F_{1}$ remains constant while it is applied for a time $T,$ the final speed of the object is $v_{1} .$ What is the final speed $v_{2}$ (in terms of $v_{1}$ ) if the applied force is $F_{2}=2 F_{1}$ and is constant while it is applied for the same time $T ?$ In a later chapter we'll call force times distance work and force times time impulse and associate work and impulse with the change in speed.)

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