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- A marble rolls off a tabletop 1.0 m high and hits the floor at a point 3.0 m away from the table’s edge in the horizontal direction. (a) How long is the marble in the air? (b) That is the speed of the marble when it leaves the table’s edge? (c) What is its speed when it hits the floor?A fastball pitcher can throw a baseball at a speed of 40 m/s (90 mi/b). (a) Assuming the pitcher can release the ball 16.7 m from home plate so the ball is moving horizontally, how long does it take the ball to reach bone plate? (b) How far does the ball drop between the pitcher’s hand and home plate?MIT’s robot cheetah can jump over obstacles 46 cm high and has speed of 12.0 km/h. (a) If the robot launches itself at an angle of 60 at this speed, what is its maximum height? (b) What would the launch angle have to be to reach a height of 46 cm?
- A rescue helicopter is hovering over a person whose boat has sunk. One of the rescuers throws a life preserver straight down to the victim with an initial velocity of 1.40 m/s and observes that it takes 1.8 s to reach the water. (a) List the knowns in this problem. (b) How high above the water was the preserver released? Note that the downdraft of the helicopter reduces the effects of air resistance on the falling life preserver, so that an acceleration equal to that of gravity is reasonable.You are going to toss a rock straight up into the air by placing it on the palm of your hand (youare not gripping it), then pushing your hand up very rapidly. You may want to toss an object intothe air this way to help you think about the situation. The rock is your object. For each part,determine the direction of ?⃗net.A. As you hold the rock at rest on your palm, before moving your hand.B. As your hand is moving up, but before the rock leaves your hand.C. One-tenth of a second after the rock leaves your hand.D. After the rock has reached its highest point and is not yet falling straight down. Draw a free body diagram for eachA student launches a small rocket which starts from rest at ground level. At a height 1.74 km, the rocket reaches a speed of 251m/s. At that height, the rocket runs of fuel so there is nolonger any thrust propelling it. Take the positive direction to be upward.a. assuming constant acceleration, what is the rocket's accerlation in m/s2 during the period from its launch until it runs out of fuel?b. afther the rocket's engine turns off at a height of 1.74km it continues to move upward due tothe velocity it reached. what is the rocket's acceleration in m/s2 during the engine shutoff until it returns to the ground. Ignore aire resistancec. calculate the maximum height, in meters, above groudn level that the rocket reaches
- An object is thrown off the top of a 48 m y’all building with a velocity of 375 m/s at an angle of 7.2 degrees with respect to the horizontal. a. How long is the object in the air in seconds? b. What is the maximum height the object reaches above the ground in meters? c. What is the horizontal distance the object covers in meters?My Courses Log ou 14. Jun throws a stone straight upward alongside a tree with an initial velocity of 32 ft/sec. The stone rises until it is even with the top of the tree and then falls back to the ground. How tall is the tree? A. 16 ft В. 20 ft C. 32 ft D. 64 ft 15. Which of the following statements is/are false? I. A particle moves to the right of the origin when its velocity is positive. II. A particle is not moving when its acceleration is zero. III. A particle's speed is decreasing when its velocity and acceleration have opposite directions. A. I only B. II only C. II and III D. I and III 16. A dynamite blast blows a heavy rock straight up with a launch velocity of 160 ft/sec. It reaches a height of s=16ot -16t2 aftert sec. How high does the rock go? A. 350 ft В. 400 ft C. 450 ft D. 475 ftSuppose Jill wants to jumó over a river. She runs horizontally from the rivers higher bank at 9.4 m/s and lands on the edge of the opposite bank. A. If the height of her side is 2.00 m above the other, how wide is the river B. What would jills final velocity be when she lands. Awnser both
- A. A soccer ball is kicked at an angle of 35o and gained an initial velocity of 40 m/s. 1. Determine the velocity along x. 2. Determine the range of the projectile. 3. Determine the maximum height the ball will reach. 4. Determine the total time of flight. 5. Determine the x and y position and velocity at t= 1.5 s.4. There are two frogs named Eroggy, and Jumpy. They jumped from the top of a vertical cliff. Froggy just drops and reaches the ground in 3.50 s, while Jumpy jumps horizontally ((bida bida siva, char! Hahall with an initial speed 95 cm/s. a. How far from the base of the cliff will Jumpy hit the ground? b. How high is the vertical cliff? c. If Jumpy jumps with an angle of 30 degrees with respect to the horizontal, what should be its initial velocity for it to land on the same spot as he did when he jumped horizontally?EHI MOLE MISS UNIVERSITY or Aguil bll l Sign i are O T y 3. A golf ball leaves a golf club with an initial velocity of 30 m/s at an angle of 50° with the horizontal. a. What is the vertical component of the golf ball's initial velocity? b. What is the total time flight time of the ball? CHINGTON HUSKIES