1) At time t = 0 , a projectile is launched from ground level. At t = 2.00 s , i

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1) At time t = 0, a projectile is launched from ground level. At t = 2.00 s, it is displaced d = 45 m horizontally andh = 72 m vertically above the launch point. At the instant it reaches its maximum height above ground level, what is its horizontal displacement D from the launch point? A cameraman on a pickup truck is traveling westward at23 km/h while he videotapes a cheetah that is moving westward 20 km/h faster than the truck. Suddenly, the cheetah stops, turns, and then run at 43 km/h eastward, as measured by a suddenly nervous crew member who stands alongside the cheetah's path. The change in the animal's velocity takes 1.8 s. What are the (a) magnitude of the cheetah's acceleration according to the cameraman and the (b) magnitude of the cheetah's acceleration according to the nervous crew member?

2) Two highways intersect as shown in the figure. At the instant shown, a police car P is distance dP = 750 m from the intersection and moving at speed vP = 75 km/h. Motorist M is distance dM = 550 m from the intersection and moving at speed vM = 55 km/h. What are the (a)x-component and (b)y-component of the velocity (both in km/h) of the motorist with respect to the police car? (c) For the instant shown in the figure, what is the angle between the velocity found in (a) and (b) and the line of sight between the two cars?

3) In the figure, a baseball is hit at a height h = 1.30 m and then caught at the same height. It travels alongside a wall, moving up past the top of the wall 1.3 s after it is hit and then down past the top of the wall 3.5 s later, at distance D = 52 m farther along the wall. (a) What horizontal distance is traveled by the ball from hit to catch? What are the (b) magnitude and (c) angle (relative to the horizontal) of the ball's velocity just after being hit? (d)How high is the wall?

4) A boy whirls a stone in a horizontal circle of radius 1.3 m and at height 1.8 m above level ground. The string breaks, and the stone flies off horizontally and strikes the ground after traveling a horizontal distance of 8.6 m. What is the magnitude of the centripetal acceleration of the stone while in circular motion?

5) A 150-m-wide river has a uniform flow speed of 1.7 m/s through a jungle and toward the east. An explorer wishes to leave a small clearing on the south bank and cross the river in a powerboat that moves at a constant speed of9.6 m/s with respect to the water. There is a clearing on the north bank 96 m upstream from a point directly opposite the clearing on the south bank. (a) At what angle, measured relative to the direction of flow of the river, must the boat be pointed in order to travel in a straight line and land in the clearing on the north bank? (b) How long will the boat take to cross the river and land in the clearing?

At time t = 0, a projectile is launched from ground level. At t = 2.00 s, it is displaced d = 45 m horizontally andh = 72 m vertically above the launch point. At the instant it reaches its maximum height above ground level, what is its horizontal displacement D from the launch point? A cameraman on a pickup truck is traveling westward at23 km/h while he videotapes a cheetah that is moving westward 20 km/h faster than the truck. Suddenly, the cheetah stops, turns, and then run at 43 km/h eastward, as measured by a suddenly nervous crew member who stands alongside the cheetah's path. The change in the animal's velocity takes 1.8 s. What are the (a) magnitude of the cheetah's acceleration according to the cameraman and the (b) magnitude of the cheetah's acceleration according to the nervous crew member? Two highways intersect as shown in the figure. At the instant shown, a police car P is distance dP = 750 m from the intersection and moving at speed vP = 75 km/h. Motorist M is distance dM = 550 m from the intersection and moving at speed vM = 55 km/h. What are the (a)x-component and (b)y-component of the velocity (both in km/h) of the motorist with respect to the police car? (c) For the instant shown in the figure, what is the angle between the velocity found in (a) and (b) and the line of sight between the two cars? In the figure, a baseball is hit at a height h = 1.30 m and then caught at the same height. It travels alongside a wall, moving up past the top of the wall 1.3 s after it is hit and then down past the top of the wall 3.5 s later, at distance D = 52 m farther along the wall. (a) What horizontal distance is traveled by the ball from hit to catch? What are the (b) magnitude and (c) angle (relative to the horizontal) of the ball's velocity just after being hit? (d)How high is the wall? A boy whirls a stone in a horizontal circle of radius 1.3 m and at height 1.8 m above level ground. The string breaks, and the stone flies off horizontally and strikes the ground after traveling a horizontal distance of 8.6 m. What is the magnitude of the centripetal acceleration of the stone while in circular motion? A 150-m-wide river has a uniform flow speed of 1.7 m/s through a jungle and toward the east. An explorer wishes to leave a small clearing on the south bank and cross the river in a powerboat that moves at a constant speed of9.6 m/s with respect to the water. There is a clearing on the north bank 96 m upstream from a point directly opposite the clearing on the south bank. (a) At what angle, measured relative to the direction of flow of the river, must the boat be pointed in order to travel in a straight line and land in the clearing on the north bank? (b) How long will the boat take to cross the river and land in the clearing?A ball is shot from the ground into the air. At a height of 7.2 m, its velocity is with horizontal and upward. (a) To what maximum height does the ball rise? (b) What total horizontal distance does the ball travel? What are the (c) magnitude and (d) angle (below the horizontal; give as negative) of the ball's velocity just before it hits the ground?

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