A daredevil jumps off a tall building. He falls freely for several seconds before releasing his parachute. His height (h) in meters, ? seconds after jumping can be modeled by h = −4.9?2 + ? + 360 before he releases his parachute and h = −4? + 142 after he released his parachute. How long after jump did he release his parachute?

Q: A basketball player runs 7.00 m due north, then 5.00 m in a direction 30° north of west, and finally…

A: Given ,  A = 7 m , North              B = 5m, 300 north of west              C = 8 m east

Q: The 1992 world speed record for a bicycle (human-powered vehicule) was set by Chris Huber. His time…

A: Time taken by Chris Huber in 1992 to cover 200 m stretch = 6.509 seconds Using formula, Speed×time =…

Q: A car travels 64.70 +/- 0.50 meters in 8.650+/-0.05 seconds. What is its speed in m/s? Answer must…

A: Given data: The distance traveled by car is D=64.70 +/-0.5 m. The time taken is t=8.650+/-0.05 s.

Q: You throw an object up with an initial velocity of voy = 5 m/s from a height of y = 25 m. Part (a)…

A: Given : Initial velocity (v0y) = 5 m/s Height (yi) = 25 m

Q: In a 5.00 km race, one runner runs at a steady 12.0 km/hr and another runs at 14.7 km/hr. How long…

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Q: Nerve impulses in a human body travel at a speed of about 100 m/s. Suppose a man accidentally stubs…

A: Given that: Speed of the nerve impulse in human body: v= 100 m/s Height of the man, d=1.70 m…

Q: Goggles Paisano (aka Fred Flintstone) has once again entered the Indianrockolis 500. The race…

A: Given data: The number of laps is n=200. The length of each lap is s=2.5 mile. Time taken is t=2hr…

Q: The coordinate of an object is given as a function of time by x(1)=7t-312, where.x in meter and t in…

A: It is given that, x(t)=7t-3t2

Q: An object is moving in the air (defying gravity) so that its height after t seconds is given by…

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Q: A rabbit runs across a parking lot. The coordinates of the rabbit's position (in meter) are given by…

A: Consider the x-coordinate of the rabbit’s position. On differentiating the above equation with…

Q: A motorcyclist is traveling at 13.6 m/s and accelerating at 3.05 m/s? for 2.1 s, how far does it…

A: Given(s): Initial speed, u=13.6 m/s. Acceleration, a=3.05 m/s2. Time, t=2.1 s Require:  Distance…

Q: A runner is moving with a speed of 2.68[m/s]. How long will it take the runner to complete a 5.0[km]…

A: The expression for find time taken by the runner to complete the race is t=dv

Q: A car accelerates with a constant acceleration of 1.2 m s along a long straight road. How long does…

A: Simple problem from Kinematics. Let's solve it by using the 1st and 2nd equations of motion for…

Q: If an egg is dropped from rest and takes 0.8 seconds to hit the ground, what is the height, in…

A: Given Data: The time taken by egg to hit the ground is: t=0.8 s The gravitational acceleration is:…

Q: Problem 1: An object is thrown straight up with an initial velocity of 17 m/s. Part (a) How high…

A: The given data are as follows:  The object is thrown straight up. The initial velocity, u = 17 m/s

Q: An object's position in the x-direction as a function of time is given by the expression; x(t)- 5t²…

A: Given data:  The position function of the object x = 5t2 + 2t Required: The average velocity between…

Q: Nerve impulses in the human body travel at a speed of about 100 ms-1. A 1.6m tall man accidentally…

A: Given data The speed of the nerve is given as v = 100 m/s. The height of the man is given as h =…

Q: Given the quantities a = 4.3 m, b = 9.2 s, c = 45 m/s, what is the value of the quantity d = Number…

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Q: A car travels along a 1000 m path, starting from rest. For the first 300 m, it accelerates at 2.00…

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Q: A person takes a trip, driving with a constant speed of 96.5 km/h, except for a 20.0-min rest stop.…

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Q: Nerve impulses in a human body travel at a speed of about 100 m/s. Suppose a man accidentally stubs…

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Q: From January 26, 1977, to September 18, 1983, George Meegan of Great Britain walked from Ushuaia, at…

A: Basic Details The average velocity is the ratio of total distance covered to that of the total time…

Q: I throw a ball straight up in the air. It travels straight up 2 meters and then straight back down…

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Q: Mary is on the third floor of a building. Suddenly, she dropped her coin and the coin reached the…

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Q: Starting from rest, a particle moving in a straight line has an acceleration of a = (2t−6)m/s^2 ,…

A: Given data: Acceleration a =2t-6 ms-2 Time t= 6s To determine Position at Time t = 11 s

Q: To take off from the ground, an airplane must reach a sufficiently high speed. The velocity required…

A: Finding the distance travelled by the airplane in first second of runGiven Information:The distance…

Q: a car moves along a path. expressed as: S = 4+² -3+² +8 2 Where s is in meters while t in seconds.…

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Q: You attach a meter stick to an oak tree, such that the top of the meter stick is 2.67 meters above…

A: The diagram of the system is given below:                                               According…

Q: A rock is dropped (from rest) from the top of a 73.9-m-tall building. How far above the ground is…

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Q: A person who walks for exercise produces the position-time graph shown. Calculate the average…

A: Given data:  Position vs time graph Required: The average velocity for segment A, B and C

Q: A startled armadillo leaps upward, rising 0.589 m in the first 0.219 s. (a) What is its initial…

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Q: f the acceleration is constant, how much time elapses while the auto moves the 180 ft? Answer in…

A: u=24 fts &   v=37 fts   , s=180 ft , a=constantUsing third equation of motion , we get…

Q: A kicker kicks a football upward from the ground at an initial velocity of 63 feet per second. The…

A: Given: u=63ft/s, d=70ft (a) The trajectory of the football is found by : h=ut+12gt2 At the highest…

Q: Using the equation ??2 =???2 +2??(?−??) where a car is moving at an initial speed of 22 m/s slams on…

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Q: f(t) = - 16t + 389t+ 21 is the height (in feet) of a ball launched straight up t seconds after it is…

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Q: The acceleration of an object (in m/s2) is given by the function a(t)=7sin(t)a(t)=7sin(t). The…

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Q: Nerve impulses in a human body travel at a speed of about 100 m/s. Suppose a person accidentally…

A: The distance travelled by the nerve impulse is d=1.6m

Q: (a) Calculate the height (in m) of a cliff if it takes 2.21 s for a rock to hit the ground when it…

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Q: Goggles Paisano (aka Fred Flintstone) has once again entered the Indianrockolis 500. The race…

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Q: A brick was dropped from rest from a height of 91.4 m. How long does it take the brick to reach the…

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Q: A car starts from 2.00 m/s and accelerates at 4.00 m/s2 for 6.0 s, it coasts for 5.00 s, and then…

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Distance and Speed

The speed, distance and time relation forms the basis of study of motion. You will need these concepts in the study of Mechanics. This concept is applicable for students who are studying the following courses –