What is the velocity of the cart at t = 5 s?

Q: How fast is the ball right before it strikes the ground?

A: a. The displacement of the ball is 5.00 m. therefore, s=ut+12at2u=0,a=gs=0t+12gt25.00 m=+1210…

Q: A ball is pushed with an initial velocity of 12m/s.The ball rolls down a hill with a constant…

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Q: A skier starts from rest at the top of a smooth slope. If the height of the slope is 157 m, what is…

A: Given data: h = 157 m Need to determine the velocity at the bottom of the slope.

Q: What is the car’s acceleration within the second hour of the journey?

A: Acceleration is given as rate of change of velocity with time.

Q: The acceleration of a ball as it rolls down a ramp is 4 m/s2. The ball is referred to 2 s after it…

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Q: a man throws a stone from the rest down to well. find the acceleration that stone make to reach the…

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Q: Aball is thrown downward from the top of a roof with a speed of 25 m/s .After 2 s , its velocity…

A: The given data are: u=-25 m/st=2 s Here, u denotes the initial speed and t denotes the time.

Q: A car moving at 5 m sl is brought to rest after travelling a distance of 1.5 km. The time taken by…

A: Given Data : The speed of the car is given as v=5 ms. The distance travelled by car before stopping…

Q: Find speed Distance=60 m Time=3 s

A: Given data : Distance=d Time=t   Required : Speed

Q: Mr. M turns while riding his bike. His initial velocity was 6.4m/s [E30.0S]. His final velocity was…

A: Given,initial velocity (u)=6.4m/sfinal velocity (v)=8.5m/stime taken to complete turn (t)=3.8slet…

Q: What is the  Instantaneous Speed?

A: Variation of distance with respect to variation in time at any instant is known as instantaneous…

Q: What is the velocity of 2 x 4 m/s

A: Velocity is defined as the time rate change of displacement with respect to time.

Q: What is the velocity of a penguin that swims 90 meters through the water in 12 minutes?

A: Solution:  Use the formula for velocity:  V = distance/time  Now,

Q: A bullet in a gun is accelerated from the firing chamber to the end of the barrel at an average rate…

A: Given: The acceleration of the bullet is a=6.20X105 m/s2. The time taken is t=8.10X10-4 s. The…

Q: A ball travels a constant speed of 3m/s for 6 seconds. How far does the ball travel.

A: Given, Velocity of ball v = 3 m/s Time t = 6 sec   We know the expression for distance is  Distance…

Q: What acceleration will be

A: Given data; Acceleration,a=10 m/s2mass,m=500 kgFind acceleration caused by the same force in a body…

Q: The area under a velocity-vs-time graph always represents velocity acceleration displacement…

A: Expression for area under a velocity vs time curve A=∫vdt

Q: the velocity (in m/s) of the rock

A: Solution:Consider the equations of motion as given below:v = u + at  -1s=ut+12at2 -2v2=u2+2as…

Q: a projectile fired from a canon travels 450 meters away in 5 seconds, how high did the projectile…

A: Given: The horizontal distance traveled by the cannon ball is 450 m, The time of flight is 5 s.

Q: Calculate the height (in m) of a cliff if it takes 2.27 s for a rock to hit the ground when it is…

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Q: A ball is thrown upward with initial velocity of 72 km/hour (g= 10 m/s2). Is the ball in rest,…

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Q: car’s acceleration

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Q: Find the speed of car Distance 66.44 km Time=2 hr

A: Given data : Time=t Distance=d   Required : Speed

Q: A rock is thrown straight down with an initial velocity of 14.3 m/s from a cliff. What is the rock's…

A: Initial velocity (u) = - 14.3 ms(here negative sign shows the downwards direction of initial…

Q: A rocket accelerates from rest at a rate of 23.2 m/s for exactly 1 minute. The rocket's speed after…

A: Given: The acceleration of rocket is a=23.2 m/s2. The time is t=1 min.   The expression from…

Q: What is the speed (in m/s) acquired by a freely falling object 5 s after being dropped from a rest…

A: Given data:  A freely falling object  Initial velocity (Vi) = 0 m/s Time (t) = 5 s Required:  Final…

Q: velocity after two seconds

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Q: A roller coaster approaching 3 meters before its starting point has a. Velocity b. Displacement c.…

A: We know that, Roller coaster moves in angular motion since the roller coaster is moving 3 metres…

Q: A bicyclist rides with a constant speed of 9m/s for 4s. Make a motion chart (from initial position)…

A: Given data: Speed of the bicyclist, v=9 m/s Time taken, t=4.0 s

Q: What is its acceleration at t = 6 s?

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Q: A string is 1.42 m long but the acceleration remains 3.0 m/s, what is the ball's new speed (in m/s)?

A: Given:- string-length (r) =1.42m acceleration (a) = 3 m/s2 Find, New speed of ball's =v Now,…

Q: A marble rolling down a ramp accelerates from rest to a velocity of 6.00 m/s in a distance of 4.00…

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Q: The acceleration of a ball as it rolls down a ramp is 4 m/s2. The ball is referred to 2 s after it…

A: Apply the kinematics formula,  S=ut+12at2 Given : Acceleration a=4 m/s2 Time t=2 s

Q: How fast must the swim

A: Sloth must swim at speed of 0.119 m/s Explanation is in next step.

Q: How far does the car travel before stopping?

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Q: Find distance Speed=10 m/s Time=2 s

A: Given that - Speed(v)=10 m/sec Time(t)=2sec To determined that Find distance?

Q: What significance does the legal motion have for a rider?

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Q: A ball slides of a table with an initial horizontal velocity of 1.58 m/s. It strikes the floor after…

A: Given : vox = 1.58 m/s t = 0.26 s voy = 0 (because ball initially slides in horizontal direction not…

Q: A baseball pitcher delivers a fast ball. During the throw, the speed of the ball increases from 0 to…

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Q: Patrons are riding the free fall drop at the carnival. If the ride free falls for 2.0 seconds, what…

A: Given data The time duration for the free fall is: t = 2 s   The expression for the final velocity…

Q: In the graph below, if v =15.5, then how far (in meters) does the runner (whose graph is shown…

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Q: Ana drops her phone from a cliff that is 18 meters high. How long does it take to reach the bottom?

A: Given: The height of the cliff is 18 m.

Q: A train 100 m long is moving with the velocity of 72 km/hr. Find the time it takes to cross the…

A: Given The length of the train =L =100 m  Velocity of the train= V = 72 km/hr  V = 72*1000/3600 = 20…

Q: A child is sitting on the outer edge of a merry- go- round that is 18m  in diameter. If the merry-…

A: Given information: The diameter of the merry-go-round (d) = 18 m The angular velocity of the merry…

Q: What is the velocity of 0.

A: Mass of the first ball m=0.25 kg Mass of the second ball M=0.4 kg Initial velocity of the first ball…

Q: A ball is thrown straight up into the air. Just before hitting the ground does the acceleration…

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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 –