Physics freefall problems1/6/2024 How long does it take the deadbeat to hit the ground below? (Hint: can use g=-10m/s2 and factor the quadratic or use the quadratic formula) A student throws a worthless lab partner off a 120 m high bridge with an initial downward speed of 10 m/s A vertical punt has a hang time of 3.8 seconds. If g were 1/6th, will be increased by 6xsĦ. Then isolate t since you want to know what happens to t: If the rock were thrown upward on the moon with the same initial speed, how much would the hang time change? (on the moon, the acceleration due to gravity is 1/6th the value on Earth) Need the relationship between t and g without any other variables that change (v0 is constant so that can be in the equation, y is 0 so that can be in equation). Will it be in the air before it returns to the A rock is thrown straight up with an initial speed of 22 m/s. If g were 1/6th, ymax will be increased byĥ. Then isolate ymax since you want to know what happens to ymax: Since, v = 0 at max height, ymax and g are related by If the rock were thrown upward on the moon with the same initial speed, how much would the max height change? (on the moon, the acceleration due to gravity is 1/6th the value on Earth) Need the relationship between ymax and g without any other variables that change (v0 is constant so that can be in the equation). what is the acceleration of the rock at its maximum height? 9.8 m/s2 downwardį. time required to reach an downward speed of 5 m/s time required to reach an upward speed of 3 m/sĬ. A rock is thrown upward with an initial speed of 15 m/s on Earth. T 2 4t 60 0 (t 10)(t 6) 0 Solutions are t = -10s and t = 6s Since there is no negative time, we chooseĤ. time required to fall 300 m (Hint: use g=-10m/s2 and factor the quadratic or use the quadratic formula) acceleration of the object a = -9.8 m/s2 b. A ball is thrown downward with an initial speed of 20 m/s on Earth. If y is doubled, t will be increased by 2xs:įree Fall with non-zero vo 3. If the bridge were two times higher, how much longer would it take for the marble to strike the water? Need the relationship between y and t without any other variables that change. If the bridge were two times higher, by how much would the speed of the marble change when it hit the water? Since v 2 2 gyĭ. the speed with which it strikes the water (this is the speed right before it hits, when the marble is still in free fall) A marble dropped from a bridge strikes the water in 6.0 s. V 2 g y if y is doubled, v will be increased by 2xs:Ģ. if it falls 2 xs farther, by how much will the speed change Since 2 Find the time required for it to fall 300 m V gt if final velocity is doubled, t will be increased by 2xs e. Find the time to reach double the speed (50 m/s) Need relationship between v and t without any variables that would be affected by changing the speed (see boxed equation above): Find the time for it to reach a speed of 25 m/s If time of fall is doubled, y will be increased by 4xs c. Then isolate y since you want to know what happens to y: The relationship is boxed above if it falls 2 xs longer (for 6 s), how much farther will it fall? Need the relationship between t and y without any other variables that would be affected by increasing t. Find its displacement from t = 0 to t = 3s.ī. (I will box the formula before plugging numbers in so that the relationship between the variables can be easily examined) a. _įree Fall Problems For each of the following, a complete solution will consist of: a) a well-labeled diagram of the situation b) a list of all motion variables with givens, labeled with units and appropriate algebraic signs (+, -) c) a clear presentation by showing the equation used before producing a numerical answerġ.
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