A helicopter is ascending vertically with a speed of 5.30 m/s. At a height of 107 m above the Earth, a package is dropped from the helicopter. How much time does it take for the package to reach the ground? [Hint: What is v0 for the package?] Express your answer to three significant figures and include the appropriate units.

Q: The coordinate of an objec is given as a function of time by.x(1)=7t-3t2, where in meter and t in…

A: Given, Position, x(t)=7t-3t2

Q: A helicopter is ascending vertically with a speed of 5.04 m/s . At a height of 124 m above the…

A: Given information:Vertical velocity of the helicopter (u) = 5.04 m/sHeight of the helicopter (h) =…

Q: The displacement of a particle is given by s = 4t3-70t2 + 112t-34 where s is in feet and t is in…

A: Given: s=4t3-70t2+112t-34 ft

Q: A car accelerates with a constant acceleration of 1.8 m · s2 along a long straight road. How long…

A: Given Acceleration of car = a = 1.8 m/s2 Initial velocity of car = 100 km/h final velocity = 110…

Q: 2. Using the answer in question 1, the angle of the incline (in degrees) is:

A: Let θ= inclination of surface

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: 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: 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: 3. A man walks 600 m due west and then goes 400 m in a direction 30° northwest. What is his…

A:

Q: A badger looking for food travels 8.0 km [S], 3.0 km [E], 5.0 km [S], 9.0 km [N], then 3.0 km [W].…

A: Given data:  Badger travels 8.0 km [S], 3.0 km [E], 5.0 km [S], 9.0 km [N], then 3.0 km [W]…

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: A space probe on the surface of Mars sends a radio signal back to the Earth, a distance of 7.35 ✕…

A:

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: 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: the motion of the particle is described by the equation x(t)=at^3-bt^2. where a is 3.36 in m/s^3 and…

A:

Q: A toy car starts at rest and accelerate up a 40" ramp with acceleration a=√(t^3). It then flies into…

A:

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…

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Q: You are exploring a planet and drop a small rock from the edge of a cliff. In coordinates where the…

A: we have to understand the graph.

Q: In my assignment, I was asked to perform a lab experiment. I was to take a provided ball and roll it…

A:

Q: Tectonic plates are large segments of the Earth's crust that move slowly. Suppose that one such…

A:

Q: A car starts moving at 60 mi/hr. After some time, the car speed reduces to 40 mi/hr and stays there…

A: Let's denote the time the car moved at 60 mi/hr as t (in hours). Then, the time the car moved at 40…

Q: B (3,3) C (7,3) E (5,0) A (0,0) D (7,-6) 十 Note: all coordinates in meters - not to scale! A robot…

A: 2.8 meters per minuteExplanation:We only need to look at the initial (A) and final (E) position to…

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…

A:

Q: space probe on the surface of Mars sends a radio signal back to the Earth, a distance of 9.86 ✕ 107…

A:

Q: Problem 1: An object is thrown off the top of a building with velocity 26 m/s at an angle of 35°…

A: Given data: Initial velocity of object, u=26 m/s Angle from the horizontal, θ=35o Time of flight,…

Q: Consider a ball fired from a table that is h(m) high with a horizontal velocity v(m/s). Which of the…

A: Initial height of the ball is  from ground level.Horizontal velocity is Find:Time taken by the ball…

Q: You are observing the poles along the side of the road as described in the opening storyline of the…

A:

Q: The NEXT morning, you wake up in a strange room yet again, and this time you drop a ball from a…

A:

Q: A proton (mass m = 1.67 x 10-27 kg) is being accelerated along a straight line at 2.20 x 1015 m/s²…

A: Initial speed of proton (u) = 2.00 × 107 m/s  Acceleration of proton (a) = 2.20 × 1015 m/s  Distance…

Q: A car accelerates with a constant acceleration of 1.2 m · s-2 along a long straight road. How long…

A:

Q: A   boy  throws a  ball  upward in  the  vertical  direction  at  the base of  a  hill 40.0  meter…

A: Given:Height of hill, H = 40 mdistance, s = 20 m

Q: The displacement of a particle is given by s= 5t³ - 59t² + 87t-68 where s is in feet and t is in…

A: First we find expression  for velocity  and acceleration then after putting value of t as required…

Q: The vertical displacement (in m) of a plane is  1.5 t2 up; t is the time (in s) after takeoff. The…

A: Given, the vertical displacement (in m) of a plane is y=1.5 t2 up; t is the time (in s) after…

Q: 5. A particle moves counterclockwise on a circular path of 400 ft radius. It starts from a fixed…

A: The diagram below depicts the given situation.

Q: Suppose that you drive the 10.0 km from your university to home in 20.0 min. Calculate your average…

A:

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 car is 2.52 km west of a traffic light at t = 0 and 4.28 km east of the light at t = 6.00 min.…

A: Given: at t=0 , car is at 2.52 km west of traffic light at t=6.0 min, car is at 4.28 km east of…

Q: An object moving at constant speed v around a circle of radius r has an acceleration a directed…

A: Given data:  Initial speed = v Radius = r New speed (v1) = 1.175 v Required: Percentage increase in…

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 –