A tiger leaps horizontally from a 6.5-m-high rock with a speed of 3.5 m/s. How far from the base of the rock will she land?

A shot-putter throws the "shot" (mass $=7.3 \mathrm{~kg}$ ) with an initial speed of $14.4 \mathrm{~m} / \mathrm{s}$ at a $34.0^{\circ}$ angle to the horizontal. Calculate the horizontal distance traveled by the shot if it leaves the athlete's hand at a height of $2.10 \mathrm{~m}$ above the ground.

A tiger leaps with an initial velocity of 55.0 km/h at an angle of $13.0^{\circ}$ with respect to the horizontal. What are the components of the tiger’s velocity?

A football is kicked at ground level with a speed of 18.0 m/s at an angle of $35.0^{\circ}$ to the horizontal. How much later does it hit the ground?

Suppose a vector $\overrightarrow{\mathbf{V}}$ makes an angle $\phi$ with respect to the $y$ axis. What could be the $x$ and $y$ components of the vector $\overrightarrow{\mathbf{V}}$ ?

A diver running $1.6$ m/s dives out horizontally from the edge of a vertical cliff and reaches the water below $3.0$ s later. How high was the cliff and how far from its base did the diver hit the water?

You are given a vector in the xy plane that has a magnitude of 70.0 units and a y component of -55.0 units. What are the two possibilities for its x component?

You are given a vector in the $xy$ plane that has a magnitude of $90.0$ units and a $y$ component of $-55.0$ units. (a) What are the two possibilities for its $x$ component? (b) Assuming the $x$ component is known to be positive, specify the vector which, if you add it to the original one, would give a resultant vector that is $80.0$ units long and points entirely in the $-x$ direction.

A ball is shot from the top of a building with an initial velocity of 18 m/s at an angle $\theta=42^{\circ}$ above the horizontal. What are the x and y components of the initial velocity?

A car is driven 215 km west and then 85 km southwest. What is the displacement of the car from the point of origin (magnitude and direction)? Draw a diagram.

Three vectors are shown in Fig. 3-38. Their magnitudes are given in arbitrary units. Find the sum of the three vectors. Give the resultant in terms of magnitude and angle with $x$ axis.

A ball is shot from the top of a building with an initial velocity of 18 m/s at an angle $\theta=42^{\circ}$ above the horizontal. If a nearby building is the same height and 55 m away, how far below the top of the building will the ball strike the nearby building?

Suppose the position of an object is given by $\overrightarrow{\mathbf{r}}=\left(3.0 t^2 \hat{\mathbf{i}}-6.0 t^3 \hat{\mathbf{j}}\right) \mathrm{m}$. Find $\overrightarrow{\mathbf{r}}$ and $\overrightarrow{\mathbf{v}}$ at time $t=2.5 \mathrm{~s}$.

An ant walks on a piece of graph paper straight along the $x$ axis a distance of $10.0 \mathrm{~cm}$ in $2.00 \mathrm{~s}$. It then turns left $30.0^{\circ}$ and walks in a straight line another $10.0 \mathrm{~cm}$ in $1.80 \mathrm{~s}$. Finally, it turns another $70.0^{\circ}$ to the left and walks another $10.0 \mathrm{~cm}$ in $1.55 \mathrm{~s}$. Find the $x$ and $y$ components of the ant's average velocity.