A student throws a set of keys vertically upward to her sorority sister, who is in a window 2.90 m above. The second student catches the keys 2.60 s later. (a) With what initial velocity were the keys thrown? magnitude 8.37 x m/s direction up (b) What was the velocity of the keys just before they were caught? magnitude 4.37 x m/s direction down
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- A student throws a set of keys vertically upward to her friend, who is in a window 3.20 m above. The second student catches the keys 2.90 s later. A) With what initial velocity were the keys thrown?? magnitude________________m/s B) What was the velocity of the keys just before they were caught?? magnitude_________________m/sNear the end of a marathon race, the first two runners are separated by a distance of 45.6 m. The front runner has a velocity of 3.2 m/s, and the second a velocity of 4.95 m/s. a) What is the velocity of the second runner relative to the first, in meters per second? b) How many seconds earlier will the second runner reach the finish line if the front runner is 250 m from the finish line in seconds? c) What distance ahead, in meters, will the second runner be when she crosses the finish line? please answer all partsA tennis player tosses a tennis ball straight up and then catches it after 1.78 s at the same height as the point of release. (a) What is the acceleration of the ball while it is in flight? magnitude _____ m/s^2 direction (b) What is the velocity of the ball when it reaches its maximum height? magnitude _____ m/s^2 direction (c) Find the initial velocity of the ball. m/s upward(d) Find the maximum height it reaches. m
- Consider a grey squirrel falling from a tree to the ground. Use a coordinate system in which positive is downward for this problem. a) Find the squirrel’s velocity, in meters per second, just before hitting the ground when it falls from a height of 1.3 m. Ignore air resistance. b) The squirrel softens its landing by bending its legs when it touches the ground, thereby stopping itself over a distance of 7.6 cm. Assuming a constant rate of deceleration, find the squirrel’s acceleration during this process, in meters per second squared.You decide to relax & play some basketball (m = 413g). You throw the ball from an initial height of 1.13m (represented by hA on the diagram). When it hits the net (which is 2.20m high), it has a speed of 7m/s. How fast was the ball going when it left your hand? hA = height of throw = 1.13m hB = height of net = 2.20m %3DA student throws a set of keys vertically upward to his fraternity brother, who is in a window 3.90 m above. The brother's outstretched hand catches the keys 1.20 s later. (Take upward as the positive direction. Indicate the direction with the sign of your answer.) (a) With what initial velocity were the keys thrown? m/s. (b) What was the velocity of the keys just before they were caught? m/s Submit Answer
- The position of an object as a function of time is given as x = At3 + Bt2 + Ct + D . The constants are A = 2.41 m/s3 B = 1.37 m/s2 ' , C = -4.61 m/s, and D = 3.35 m. What is the velocity of the object at t = 19.10 s? m/sFrom a height of 11.0 m an object is sent directly downward with an initial velocity of 1.2 m/s. Determine how long the object stays in the air before touching the ground below. 1.38 s 1.20 s 1.86 s ○ 1.00 sNear the end of a marathon race, the first two runners are separated by a distance of 45.0 m. The front runner has a velocity of 3.50 m/s, and the second a velocity of 4.25 m/s. (a) What is the velocity of the second runner relative to the first? (Enter a number. Enter your answer in m/s faster than the front runner.) X m/s faster than the front runner (b) If the front runner is 250 m from the finish line, who will win the race, assuming they run at constant velocity? The first runner will win. The second runner will win. (c) What distance (in m) ahead will the winner be when she crosses the finish line? (Enter a number.) X m
- A ball is dropped from a height of 3 m and rebounds from the floor to a height of 2 m.a) What is the velocity of the ball just as it reaches the floor?b) What is the velocity just as it leaves the floor?c) If it is in contact with the floor for 0.02 s, what are the magnitude and direction of its average acceleration during the interval?Near the end of a marathon race, the first two runners are separated by a distance of 45.0 m. The front runner has a velocity of 3.45 m/s, and the second a velocity of 4.20 m/s. (a) What is the velocity of the second runner relative to the first? (Enter a number. Enter your answer in m/s faster than the front runner.) m/s faster than the front runner (b) If the front runner is 250 m from the finish line, who will win the race, assuming they run at constant velocity? O The first runner will win. O The second runner will win. (c) What distance (in m) ahead will the winner be when she crosses the finish line? (Enter a number.) mA coin is dropped from a hot-air balloon that is 290 m above the ground and rising vertically at 8.5 m/s. For this problem use a coordinate system in which up is positive. Find the maximum height, in meters, that the coin attains. Find its height above the ground, in meters, 4.00 s after being released. Find its velocity, in meters per second, 4.00 s after being released. Find the time, in seconds, that it takes the coin to hit the ground.