A roller coaster starts going down a hill from rest. It accelerates at 4.0 m/s^2. If it is on the hill for 6.0s, how fast (in m/s) is it going at the bottom of the hill?

Q: A rock is thrown vertically upward from ground level at time t = 0. At t = 1.9 s it passes the top…

A: Given Information The rock is thrown upward from the ground level at time t=0 At t=1.9 s it passes…

Q: A ball rolls up a slope. At the end of four seconds, its velocity is 30 cm/s; at the end of eight…

A: Given data:  Initial velocity (v0) = 30 cm/s at t = 4 s Final velocity (v) = 6.0 cm/s at t = 8 s…

Q: A projectile is fired in the earth's gravitational field with a horizontal velocity of v=9.00 m/s.…

A: Answer:-  Given  Horizontal velocity of the projectile (V) = 9.00 m/s  Time in the distance…

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…

A:

Q: A cheetah maintains its maximum speed of 95 km/hr for 27.0 s. What minimum distance must a gazelle…

A:

Q: A hoodlum throws a stone vertically downward with an initial speed of 18.0 m/s from the roof of a…

A:

Q: the grou by n = 2.7st, where his in meters and is in seconds. At after its release does the mailbag…

A:

Q: The driver of a car slams on the brakes when he sees a tree blocking the road. The car slows…

A:

Q: Problem 22:   A rock takes 2.85 s to hit the ground when it is thrown straight up from the cliff…

A:

Q: The best leaper in the animal kingdom is the puma, which can jump to a height of 10.8 ft when…

A: From the kinematics, the formula for the final velocity along the vertical direction is: Plug the…

Q: You are driving your car, and the traffic light ahead turns red. You apply the breaks for 2.93s, and…

A: Given data: Time taken (t) = 2.93 s Final velocity (v) = +5.33 m/s Acceleration (a) = -2.98 m/s2…

Q: A motorcycle has a constant acceleration of 5 m/s2. Both the velocity and acceleration of the…

A: Acceleration of the motorcycle, a=5 m/s2 The velocity at the time t=4 s is v=60 m/s

Q: a test rocket is fired straight up from the rest. the net acceleration is 20 m/s upward and…

A: Velocity when the rocket ceases firing v=u+anett=anett    u=0=20 m/s24.0 s≈80 m/s

Q: A hoodlum throws a stone vertically downward with an initial speed of 11.0 m/s from the roof of a…

A: Given data: Initial speed, u=-11 m/s (-ve sign indicates the stone is travelling downwards) Height…

Q: A potato is launched vertically upward with an initial velocity of 100 ft/s from a potato gun at the…

A: Given Initial velocity = 100 ft/s Height            = 85 foot s t = -16t2 +100t +85

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: The flight of a rocket is as follows: From rest and at sea level, the rocket is launched and climbs…

A: Given:Initial velocity of the rocket, u = 0 m/sInitial acceleration of the rocket, a = 17.2 m/s2Fuel…

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

A: The given values are,

Q: You throw a ball straight up with an initial velocity of 15.4 m/s. It passes a tree branch on the…

A:

Q: An ice sled powered by a rocket engine starts from rest on a large frozen lake and accelerates at…

A:

Q: At time t = 0, a particle has a velocity of m a(t) v = 4.00. The following graph shows the particles…

A: Dear student The area under acceleration- time graph gives us the total change in velocity of the…

Q: A cyclist reaches the top of a hill at 5.0 m/s and travels downhill with a constant acceleration,…

A: Given: The initial speed of the cyclist at the top of the hill is 5 m/s. The final speed of the…

Q: A jet fighter needs to be at the speed of 170mi/hr. What is the acceleration needed for the jet…

A:

Q: A boy uses a slingshot to launch a pebble straight up into the air. The pebble reaches a height of…

A:

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

A:

Q: A ball is thrown vertically downward from the top of a 33.3-m-tall building. The ball passes the top…

A: height of building = 33.3 m height of top of window above ground = 10.3 m time taken to reach to the…

Q: The height of a helicopter above the ground is given by h = 2.50t3, where h is in meters and t is in…

A: Height of helicopter at the time when mail bag is released h = 2.5 (1.95)3     = 18.537 sSpeed of…

Q: A car starts from rest and accelerates smoothly at 2.10 m/s^2 for a distance of 185 m.  What is the…

A: GIVEN  a=2.10m/s2s=185 m FORMULA USED : s= ut +12at2            (1) Initially car is at rest so…

Q: A stone is thrown downwards from the top of a 71.0 m high cliff with an initial speed of 1.61 m/s.…

A:

Q: A student begins at rest and then walks north at a speed of v1 = 0.55 m/s. The student then turns…

A: Given: Speed v1 = 0.55 m/s along north direction Speed v2 = 0.53 m/s along south direction Taking…

Q: A particle moving at a velocity of 4.0 m/s in the positive x direction is given an acceleration of…

A: initial velocity (u) = 4 ms , along + x direction acceleration (a) = 3 ms2 , along +y direction time…

Q: An object starts at rest.  It accelerates in the +x direction at 6.6m/s^2 for 5.2 sec.  How far does…

A: Given: Initial velocity (u) = 0 ......(object is at rest) Acceleration (a) = 6.6 m/s2 Time (t) = 5.2…

Q: How long did the ball take to return to the juggler’s hand?

A:

Q: A car is coasting backwards down hill at a speed of 3.0m/s when the driver gets the engine started.…

A: Average acceleration

Q: Wags decides to go on another adventure. He begins by traveling east for 100m. He then moves 75 m in…

A: Given data,  Distance travelled towards East = 100m Distance travelled towards west =75 m With…

Q: The cheetah is the world’s fastest land mammal and can accelerate from rest to 26.3 m/s in 28.1 s.…

A:

Q: A marble is thrown upward with an initial speed of 15.6 m/s. Assume g=10.0 m/s2 and neglect air…

A: Given  Initial velocity u=15.6m/s Final velocity v=0.5×15.6=7.8 m/s Acceleration due to gravity…

Q: The driver of a car slams on the brakes when he sees a tree blocking che road. The car slows…

A: Speed is the distance traveled per unit of time. Here, we calculate the given as follow;

Q: A cart is given an initial velocity of 7.6 m/s and experiences a constant acceleration of 7.6…

A: Given   Initial velocity (u) = 7.6 m/s Acceleration (a) = 2m/s2 Time (t) = 8sec

Q: The nearest grocery is 60m, east from your house. You are walking at 1.2 m/s for 15.0 s toward the…

A:

Q: An astronaut on the Moon drops a rock straight downward froma height of 1.25 m. If the acceleration…

A:

Q: On the moon (where there is no air and no air resistance) the local ACCELERATION due to gravity is…

A:

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 –