s(a) – s(t) lim t a а — t a

Q: student holds a ball 1.55 meters above the ground and drops it. Her friend uses a stopwatch and…

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Q: Q14: An arrow is shot straight up in the air at an initial speed of 15.0 m/s. After how much time is…

A: Given  Initial speed of arrow 15 m/s in upward direction  ∴  Vi = 15 m/s  Final speed of arrow…

Q: A stone is thrown vertically upward with an initial speed of 20 m/s. When it returns, it fall into a…

A: The initial velocity of the stone, v = 20 m/s The initial position of the stone can be considered…

Q: The acceleration of a particle is given by a = -ks2, where a is in meters per second squared, k is a…

A: Given, a=-ks2 m/s2 s= 8 m k= 0.3 /ms2 At t=0 , s0= 4 m v0= 27 m/s

Q: A ball is thrown straight down with an initial speed of 2.3 m/s from a height of 5.0 m. What is the…

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Q: A student holds a ball 1.55 meters above the ground and drops it. Her friend uses a stopwatch and…

A: We have been given that h = 1.55 m t = 0.57 Using these values, the value of acceleration due to…

Q: An object is moving with constant non-zero velocity in the +x direction. The velocity versus time…

A: Given:Object moving with constant velocity in                 the +x direction. To find: Velocity…

Q: The basketball bounces straight back up off the ground and reaches a maximum height of 4.00m.…

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Q: A ball is thrown upward at time t=0 from the ground with an initial velocity of 14 m/s (~ 31 mph).…

A: The initial velocity of the ball u=14 m/s At the maximum height the velocity of the ball will become…

Q: The acceleration of a particle is given by a = -ks2, where a is in meters per second squared, k is a…

A: This is a general problem in mechanics which can be solved using newtonian mechanics. acceleration…

Q: a) magnitude of the position s of the particle. b) speed v of the particle. ( ) c) magnitude of the…

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Q: A supply plane needs to drop a package of supplies to people working on a project in a New Zealand.…

A: Given: height of plane h = 50 m speed u = 40 m/s

Q: A cargo plane is moving with a horizontal velocity of v= +248 m/s at a height of y = 1070 m above…

A: In the given question, Height of the plane (h) = 1070m Initial velocity ( vx ) in the horizontal…

Q: A pen is dropped vertically 6 ft above the ground, 1 second later, someone grab the pen before the…

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Q: A small bag of sand is released from an ascending hot‑air balloon whose constant, upward velocity is…

A: Initial velocity (vo) = 2.15 msInitial height (h) = 58.8 m

Q: An object's position in a given coordinate system is described by the vector r = t^2 i - (3t + 3) j.…

A: Write the expression of the position vector, differentiate the expression with respect to time, and…

Q: Consider a toy rocket that undergoes one dimensional motion. It is launched from rest straight up…

A: Given:- ∆t1= time taken to go from o to A a= acceleration of rocket before t1 = acceleration of…

Q: A cargo plane is moving with a horizontal velocity of v, = +241 m/s at a height of y = 880 m above…

A: From equation of motion, s = ut + (1/2)×a×t2 Where, s = distance travel u = initial velocity a =…

Q: Consider a toy rocket that undergoes one dimensional motion. It is launched from rest straight up…

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Q: The position function for a falling objects is given by s (t) = -16t2 + vot + s0, where s (t) is the…

A: Given  The initial height is so = 0. The initial velocity is vo = 30 ft/s. The position function is…

Q: A ball is kicked at an angle 370 with a velocity of 20 m/s. Given the initial velocity component,…

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Q: An object’s position as a function of time is x(t) = 9 m + 1.5 m/s t– 3 m/s^2 t^2 a. Calculate the…

A: Given  x(t)=9 + 1.5t- 3t2 Now We find velocity and acceleration as a function of time…

Q: The body moves with the acceleration shown below. At time t = 0s, body position x = 250m and body…

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Q: O 2250 m

A: Refer attachment

Q: A ball has an initial velocity of 1.50 m/s along the x-axis. Starting at t0=0, the ball receives an…

A: The velocity of an object accelerating is given by v= u+at, where u = initial velocity, a =…

Q: A thief is trying to escape from a parking garage after completing a robbery, and the thief’s car is…

A: Givenspeed of car (v)=11 m/sThief at a distance from door when a police flips switch (L)=14…

Q: A rocket is launching vertically upward as shown in Figure Q1. Initially at t = 0, s = 0 and v= 0.…

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Q: The trajectory of an object is given by the equation: x(t) = (1.87 m) + (32.1 m/s) t - (4.89 m/s²)t²…

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Q: A ball is thrown upward at time t=0 from the ground with an initial velocity of 14 m/s (~ 31 mph).…

A: The initial velocity of the ball u =14 m/s The acceleration of the ball is the acceleration due to…

Q: A person on the top of a roof of a building (100 m) drops a ball. After 2s passed, a person who…

A: Given: The height of the building is 100 m. The person on the ground throws another ball after 2 s…

Q: A stone is thrown vertically upward with an initial speed of 20 m/s. When it returns, it fall into a…

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Q: The figure below shows a ball thrown from the top of a cliff at a downward angle of θ= 35.9° . It…

A: Given  D = 7.64 m is horizontal distance  Time taken, T = 1.11 sec  Downward angle, θ= 35.9°   If U…

Q: A ball is projected upward at time tt = 0.0 s, from a point on a roof 90 m above the ground. The…

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Q: A skydiver falls d1=355md1=355m in t1=8.7st1=8.7s before opening her parachute. After the chute…

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Q: A cork bobs up and down in a lake. The distance from the bottom of the lake to the center of the…

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Q: The position of a squirrel running in a park is given by F=[(0.280 m/s)t + (0.0360 m/s²)t2] +…

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Q: A ball is thrown upward with an initial velocity of 11 m/s. The approximate value of g = 10 m/s2.…

A: The equation of velocity is v=u+at

Q: uppose a Chinook salmon needs to jump a waterfall that is 1.35 m high. If the fish starts from a…

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Q: Consider a grey squirrel falling from a tree to the ground. Use a coordinate system in which…

A: The squirrel starts its fall from a height of 1.3 m above the ground. This squirrel falls under the…

Q: Suppose a Chinook salmon needs to jump a waterfall that is 1.45 m high. If the fish starts from a…

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Projectile Motion