What are the two roots of the equation (4.9 m/s2)t2 –(30 m/s)t + (3 m) = 0? (t has the unit of seconds.) - 0.102 s, 6.021 s - 0.102 s, - 6.021 s 0.102 s, 6.021 s

Q: 41. Average velocity. In t seconds, an object dropped from a certain height will fall s(t) feet,…

A: Given Data: The height is given by, st=16t2. (a) The values of s(5) and s(3) can be calculated as,…

Q: My question isn't how to solve the problem exactly.  In fact, it's already been solved on this…

A: Basic concept of velocity and acceleration: Velocity of an object is defined as product of distance…

Q: 1 A. car is traveling at 30 m/s ( The driver applies the brakes and the car comes to a stop in 4.0 s…

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Q: elocity decreases linearly from 45 m/s to 0 m/s. 101 m 225 m 150 m 112 m

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Q: A car starts from 2.0 m/s and accelerates at 4.0 m/s2 for 6.0 s. How far has it traveled, in meters?…

A: It travelled 84 m

Q: At time t = 0 s, an object is observed at x = 0 m; and its position along the x axis follows this…

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Q: Acar is going 19 m/s for 27 s. Draw an accurate graph showing the distance versus time for the car.…

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Q: 6. A graph of v(t) is shown for a lion in the figure. (a) What is the lion's average velocity for…

A: Average velocity = area under the curve from t =0 to t=4 sec..Average velocity = .

Q: For many years it was the dream of runners to break the “4-minute mile". Now, quite a few runners…

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Q: pumpkin is shot straight up with an initial speed of 5.9 m/s. What is the maximum height it can…

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Q: In m/s?, what is the acceleration when t = 7.5 sec? Express your answer as an integer, not as a…

A: The acceleration at a time in velocity-time graph represents the at that time.

Q: You are driving home from school steadily at 97 km/hkm/h for 160 kmkm . It then begins to rain and…

A:

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: of an object (in m/s2) is given by the function a ( t ) = 5 sin ( t ). The initial velocity of the…

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Q: As a train accelerates away from a station, it reaches a speed of 4.6 m/sm/s in 5.3 ss. If the…

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Q: The height of an object thrown upward with an initial velocity of 32 feet per second is given by the…

A:

Q: A jet accelerates at a constant rate from rest, traveling 900 m in 3.0 s. What is the magnitude of…

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Q: A driver traveling north slows down from 31.9 m/s to 0 m/s in 6.5 seconds. What is the magnitude of…

A: Given that, Initial velocity (u) = 31.9 m/s  Final velocity (v) = 0 m/s  Time (t) = 6.5 seconds  We…

Q: car is traveling at an unknown velocity. It accelerates constantly over 5.0s at a rate of…

A: GIVEN -     time (t)  = 5 sec     acceleration (a) = 3 m/s2     final velocity ( v ) = 30 m/s…

Q: A car is traveling at an initial speed of 20 m/s and slows to rest with an acceleration of -5.0 m/s.…

A: The initial speed of the car,(u)=20 m/sec -----(1) [Given] Acceleration of the car,(a)=(-)5 m/sec2…

Q: An airplane traveling at an altitude of 2000 m and with a velocity of 200 m/s  drops a package. How…

A: SOlution: given that h = 2000 m v =200 m/s to find the time when package reach the grond

Q: An airplane accelerates down a runway at 3.20 m/s2 for 32.8 s until is finally lifts off the ground.…

A:

Q: An Olympic bobsled goes 41 m in 2.6 s. How fast was it travelling in m/s? Be sure to answer with the…

A: Speed is given by V = distance/time

Q: Alice is riding a bike at 12 mph, but decides to sprint.  She takes 0.7 s to accelerate to 19 mph.…

A: Acceleration defined as a rate of change of velocity. Acceleration is a vector quantity, because it…

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: The velocity of a car is given by the following graph/function: v(t) v(t) = 1.5+0.8t – 0.01t³ Where…

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Q: At t = 0, a car is going 10 ft/s and is 368 ft from the start of the road. The driver accelerates…

A: Initial velocity of car (u) = 10 ftsdistance of car from the road (d) = 368 ft Acceleration (a) = 17…

Q: An object's velocity is ū = (1.0)t²î + 3.0m§. What is the object's acceleration at t=2.0s?

A: Given: An object with velocity V=(1.0ms3)t2i^+3.0msj^ Acceleration a=dvdt…

Q: A car moves along the x-axis with the equation x = t² + 2t + 3. The average speed of the car over…

A: v=total distancetotal time=xf-xitf-tI=t2f+2tf+3-t2f+2tf+3tf-tI

Q: What is the average acceleration of a car that goes from rest to 60 km/h in 8 seconds? a) In km/h/s…

A: Given Initial velocity of the car (u) = 0 Final velocity (v) = 60 km /h  Time taken (t) = 8 s…

Q: Part (a) What is its velocity after 23 seconds? Give your answer in m/s. Numeric : A numeric value…

A: a) Given data The initial velocity of the car is u = 0 as it starts from rest. The acceleration of…

Q: The acceleration of a crate sliding down a ramp is given by ax = (0.25t²) m/s² and ay = (1.5t³)…

A: In this problem, we will first calculate the velocity in x and y directions and then we will…

Q: The acceleration of an object (in m/s²) is given by the function a(t) = 7 sin( the object is v(0) =…

A:

Q: The acceleration of an object (in m/s2) is given by the function a(t)=8sin(t)a(t)=8sin(t). The…

A: a(t)=8sin(t)a(t)=8sin(t) v(0)=−10v(0)=-10 m/s

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 –