Two cannonballs, A and B, are fired from the ground with identical initial speeds, but with $\theta_{\mathrm{A}}$ larger than $\theta_{\mathrm{B}}$. Which travels farther?

In archery, should the arrow be aimed directly at the target? How should your angle of aim depend on the distance to the target?

How could you find the speed a slingshot imparts to a rock, using only a meter stick, a rock, and the slingshot?

Two vectors have length $V_1=3.5 \mathrm{~km}$ and $V_2=4.0 \mathrm{~km}$. What are the maximum and minimum magnitudes of their vector sum?

The cheetah can reach a top speed of 114 km/h (71 mi/h). While chasing its prey in a short sprint, a cheetah starts from rest and runs 45 m in a straight line, reaching a final speed of 72 km/h. (a) Determine the cheetah’s average acceleration during the short sprint, and (b) find its displacement at t = 3.5 s.

During baseball practice, a batter hits a very high fly ball and then runs in a straight line and catches it. Which had the greater displacement, the batter or the ball?

If the velocity of a particle is zero, can the particle's acceleration be non-zero?

Can an object be increasing in speed as its acceleration decreases? If so, give an example. If not, explain.

Can the velocity of an object be negative when its acceleration is positive? What about vice versa?

If one object has a greater speed than a second object. does the first necessarily have a greater acceleration? Explain, using examples.

Does the speedometer of a car measure speed or velocity? Explain.

Tarzan, who weighs $820 \mathrm{~N}$, swings from a cliff at the end of a $20.0 \mathrm{~m}$ vine that hangs from a high tree limb and initially makes an angle of $22.0^n$ with the vertical. Assume that an $x$ axis extends horizontally away from the cliff edge and a $y$ axis extends upward. Immediately after Tarzan steps off the cliff, the tension in the vine is $760 \mathrm{~N}$. Just then, what is the net force on him in unit-vector notation ?

Tarzan, who weighs 820 N, swings from a cliff at the end of a 20.0 m vine that hangs from a high tree limb and initially makes an angle of 22.0 degree with the vertical. Assume that an $x$ axis extends horizontally away from the cliff edge and a $y$ axis extends upward. Immediately after Tarzan steps off the cliff, the tension in the vine is $760 \mathrm{~N}$. Just then, what are the magnitude?

Tarzan, who weighs 820 N, swings from a cliff at the end of a 20.0 m vine that hangs from a high tree limb and initially makes an angle of 22.0 degree with the vertical. Assume that an $x$ axis extends horizontally away from the cliff edge and a $y$ axis extends upward. Immediately after Tarzan steps off the cliff, the tension in the vine is $760 \mathrm{~N}$. Just then, what are the angle of Tarzan's acceleration just then?