(II) An athlete performing a long jump leaves the ground at a 27.0° angle and lands 7.80 m away.
(a) What was the takeoff speed?

(II) A projectile is shot from the edge of a cliff 125 m above ground level with an initial speed of 62.0 m/s at an angle of 35.0° with the horizontal, as shown in Fig. 3–45.

(a) Determine the time taken by the projectile to hit point P at ground level.

<IMAGE>

(II) A projectile is shot from the edge of a cliff 125 m above ground level with an initial speed of 62.0 m/s at an angle of 35.0° with the horizontal, as shown in Fig. 3–45.

(b) Determine the distance X of point P from the base of the vertical cliff. At the instant just before the projectile hits point P.                                                                       

<IMAGE>

(II) A projectile is shot from the edge of a cliff 125 m above ground level with an initial speed of 62.0 m/s at an angle of 35.0° with the horizontal, as shown in Fig. 3–45. At the instant just before the projectile hits point P, find

(c) the horizontal and the vertical components of its velocity

<IMAGE>

(II) If a ball is kicked from ground level at 15.0 m/s, there are two launch angles that will make the ball land 20.0 m away.

(b) What maximum height does the ball reach in each case?

(II) A projectile is shot from the edge of a cliff 125 m above ground level with an initial speed of 62.0 m/s at an angle of 35.0° with the horizontal, as shown in Fig. 3–45.. At the instant just before the projectile hits point P, find

(d) the magnitude of the velocity,

<IMAGE>

(II) A projectile is shot from the edge of a cliff 125 m above ground level with an initial speed of 62.0 m/s at an angle of 35.0° with the horizontal, as shown in Fig. 3–45. At the instant just before the projectile hits point P, find

(e) the angle made by the velocity vector with the horizontal.

<IMAGE>

(II) A projectile is shot from the edge of a cliff 125 m above ground level with an initial speed of 62.0 m/s at an angle of 35.0° with the horizontal, as shown in Fig. 3–45. At the instant just before the projectile hits point P,

(f) Find the maximum height above the cliff top reached by the projectile.

<IMAGE>

At t = 0 a batter hits a baseball with an initial speed of 28 m/s at a 55° angle to the horizontal. An outfielder is 85 m from the batter at t = 0 and, as seen from home plate, the line of sight to the outfielder makes a horizontal angle of 22° with the plane in which the ball moves (see Fig. 3–66). What speed and direction must the fielder take to catch the ball at the same height from which it was struck? Give the angle with respect to the outfielder's line of sight to home plate.

<IMAGE>