5- A basketball is bounced on the ground at point A and rebounds with a velocity v,of magnitude 7.5 ft/s as shown. Determine the radius of curvature of the trajectory described by the ball (a) at point A, (b) at the highest point of the trajectory. 15°

A golfer tees off from a location precisely at i = 35.0 north latitude. He hits the ball due south, with range 285 m. The balls initial velocity is at 48.0 above the horizontal. Suppose air resistance is negligible for the golf ball. (a) For how long is the ball in flight? The cup is due south of the golfers location, and the golfer would have a hole-in-one if the Earth were not rotating. The Earths rotation makes the tee move in a circle of radius RE cos i = (6.37 106 m) cos 35.0 as shown in Figure P6.47. The tee completes one revolution each day. (b) Find the eastward speed of the tee relative to the stars. The hole is also moving cast, but it is 285 m farther south and thus at a slightly lower latitude f. Because the hole moves in a slightly larger circle, its speed must he greater than that of the tee. (c) By how much does the holes speed exceed that of the tee? During the time interval the ball is in flight, it moves upward and downward as well as southward with the projectile motion you studied in Chapter 4, but it also moves eastward with the speed you found in part (b). The hole moves to the east at a faster speed, however, pulling ahead of the ball with the relative speed you found in part (c). (d) How far to the west of the hole does the ball land? Figure P6.47

By throwing a ball at an angle of 45, a girl can throw the ball a maximum horizontal distance R on a level field. How far can she throw the tame ball vertically upward? Assume her muscles give the ball the same speed in each case. (Is this assumption valid?)

A placekicker must kick a football from a point 36.0 m (about 40 yards) from the goal. Hall the crowd hopes he ball will clear the crossbar, which is 3.05 m high. When kicked, the ball leaves the ground with a speed of 20.0 m/s at an angle of 53.0 to the horizontal. (a) By how much does the ball clear or fall short of clearing the crossbar? (b) Does the ball approach the crossbar while still rising or while falling?

You throw a baseball at an initial speed of 15.0 m/s at an angle of 30 with respect to the horizontal. What would the ball’s initial speed have to be at 30 on a planet that has twice the acceleration of gravity as Earth to achieve the same range? Consider launch and impact on a horizontal surface.

(i) As a projectile thrown upward moves in its parabolic path (such as in Fig. 3.8), at what point along its path are the velocity and acceleration vectors for the projectile perpendicular to each other? (a) nowhere (b) the highest point (c) the launch point (ii) From the same choices, at what point are the velocity and acceleration vectors for the projectile parallel to each other?

A boy throws a baseball onto a roof and it rolls back down and off the roof with a speed of 3.75 m/s. If the roof is pitched at 35.0 below the horizon and the roof edge is 2.50 m above the ground, find (a) the time the baseball spends in the air, and (b) the horizontal distance from the roof edge to the point where the baseball lands on the ground.

Mayan kings and many school sports teams are named for the puma, cougar, or mountain lionFelis concolorthe best jumper among animals. It can jump to a height of 12.0 ft when leaving the ground at an angle of 45.0. With what speed, in SI units, does it leave the ground to make this leap?

A ball is thrown straight upward and returns to the throwers hand after 3.00 s in the air. A second ball thrown at an angle of 30.0 with the horizontal reaches the same maximum height as the first ball, (a) At what speed was the first ball thrown? (b) At what speed was the second ball thrown?

A car moving around a circular track, with constant speed (a) has zero acceleration, (b) has an acceleration component in the direction of its velocity, (c) has an acceleration directed away from the center of its path, (d) has an acceleration directed toward the center of its path, or (e) has an acceleration with a direction that cannot be determined from the information given.