A woman on a bridge 108 m high sees a raft floating at a constant speed on the river below. She drops a stone from rest in an attempt to hit the raft. The stone is released when the raft has 4.79 m more to travel before passing under the bridge. The stone hits the water 1.79 m in front of the raft. Find the speed of the raft. Number i Units
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- A soccer ball is kicked from the ground with an initial speed of 19.6 m/s at an upward angle of 42.4°. A player 54.4 m away in the direction of the kick starts running to meet the ball at that instant. What must be his average speed if he is to meet the ball just before it hits the ground? Neglect air resistance.Use g=9.81 m/s². Number i UnitA soccer ball is kicked from the ground with an initial speed of 19.5 m/s at an upward angle of 44.3°. A player 53.7 m away in the direction of the kick starts running to meet the ball at that instant. What must be his average speed if he is to meet the ball just before it hits the ground? Neglect air resistance. Use g=9.81 m/s². Number i UnitTwo people each kick identical balls at the same angle. Person A kicks it at three times the speed of person B. How many times higher does A's ball go than B's? 0 3 O 0.33 O 4
- Suppose a car is traveling at +20.3 m/s, and the driver sees a traffic light turn red. After 0.232 s has elapsed (the reaction time), the driver applies the brakes, and the car decelerates at 8.00 m/s?. What is the stopping distance of the car, as measured from the point where the driver first notices the red light? Number Units1Problem 7: A kid throws a water balloon at an angle of 62° towards his friend who is 8 m away. How fast would the water balloon leave the kid's hand so that it hits his friend at the same level it was thrown? Give your answer in m/s. Numeric : A numeric value is expected and not an expression. V =
- A soccer ball is kicked from the ground with an initial speed of 20.2 m/s at an upward angle of 40.9*. A player 52.8 m away in the direction of the kick starts running to meet the ball at that instant. What must be his average speed if he is to meet the ball just before it hits the ground? Neglect air resistance.Use g=9.81 m/s?. Number i UnitA tourist being chased by an angry bear is running in a straight line toward his car at a speed of 6.25 m/s. The car is a distance d away. The bear is 21.3 m behind the tourist and running at 8.64 m/s. The tourist reaches the car safely. What is the maximum possible value for d? Vbear Number i Vtourist UnitsA car traveling 56.0 km/h is 23.0 m from a barrier when the driver slams on the brakes. The car hits the barrier 2.05 s later. a) What is the magnitude of the car's constant acceleration before impact? b) How fast is the car traveling at impact?
- 4. Marcus throws a rock straight up into the air. It leaves his hand 1.2 meters above the ground, and it hits the ground 3.5 seconds later. Find a. the initial speed of the rock when it leaves his hand b. the maximum height the rock reaches before falling back down, relative to the ground c. the speed of the rock right before it hits the ground9: An archer fires an arrow straight up into the air with a speed v0=35.6m/s. Neglect air resistance. a. Find the maximum height, hℎ, in meters, reached by the arrow. b. In terms of known quantities, write an expression for the time the arrow is in the air until it returns to launch height.A golf ball is dropped from rest from a height of 9.90 m. It hits the pavement, then bounces back up, rising just 6.30 m before falling back down again. A boy then catches the ball when it is 1.40 m above the pavement. Ignoring air resistance, calculate the total amount of time that the ball is in the air, from drop to catch. Number i Units