If it weren't for air resistance, raindrops would be dangerous! If a raindrop initially at rest in a cloud fell freely for 16 seconds, how fast would it be going when it hit you?

Q: A ball of relatively low density is thrown upwards. Because of air resistance the acceleration while…

A: The relation is given by the kinematic equation vf2=vi2+2a∆ySince, vf=00=vi2+2a∆y-vi2=2-10.8…

Q: A go-cart, initially at rest, accelerates downhill at a rate of 3.0 m/s² for 8.0 s. Calculate the…

A: Given data:  Initial velocity (u) = 0 m/s Acceleration (a) = 3.0 m/s2 Time (t) = 8.0 s Required:…

Q: A rock is thrown upward at 15 m/s. How fast is it moving if it is 5 m high?

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Q: Modern oil tankers weigh more than a half-million tons and have lengths of up to one-fourth mile.…

A: (given) Distance of massive ships in 20 min. (=20×60 s=1200 s) = 5 km…

Q: If I toss a ball straight up with an initial velocity of 96ft/s, how long will it take for the ball…

A: Given data:  Initial velocity (Vi) = 96 ft/s, upward  Acceleration due to gravity (g) = 32 ft/s2,…

Q: A coin is dropped from a height of {x} meters. Neglecting air resistance, how much time (in seconds)…

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Q: The velocity of an object falling in free fall increases with time. Does the acceleration also…

A: Earth attracts every object towards it’s center with a force known as Force of gravity.Due to the…

Q: A player passes a basketball to another player who catches it at the same level from which it was…

A: Given:  initial speed of projection, u = 8.1 m/s  range of projection, R = 4.2 m acceleration due to…

Q: Miss Aquino’s car travels at a constant acceleration of 5 m/s^2 from rest. How long will it have…

A: The equation of motion is given by, v2=u2+2as Here, v is the final velocity, u is the initial…

Q: If you drop an object, its acceleration toward the ground is 10 m/s. If you throw it down instead,…

A: For both case the acceleration will be same. When the ball throw, there will be some initial…

Q: A gymnast leaves a trampoline at an initial height of 1.20m and reaches a maximum height of 4.80 m…

A: Using conservation of energy, ∆KE=-∆PE12mv2-12mu2=-mghf-hiu=v2+2ghf-hi

Q: If a ball is released from a window ledge, how fast will it be travelling when it reaches the…

A: Given,Height of the window from the ground, H = 69 mFind:velocity of ball at time it reach ground. v

Q: Mr. Mangan picks up a rock and throws it at a third zombie, hitting it squarely between the eyes. If…

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Q: A runner speeds up from rest at a constant rate. She covers 8.0 m in 2.0 s. If she continues…

A: Given: distance covered by her, S = 8.0 m time taken by her, t = 2.0 sec

Q: 8. A person standing on a 25-m high ledge atop a cliff drops a rock. At the same time, another…

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Q: A female motorcycle rider at rest is passed by a friend traveling at a constant rate of 120.…

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Q: A cyclist moves with a speed 2 m/s, then accelerates at 1.2 m/s2 after a distance 25m. Then the…

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Q: A boat starting from rest moves with a constant acceleration of 10 km/h² for 1 hour. It then…

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Q: You are driving along, when you see an obstacle in the road ahead.  You slam on your brakes and your…

A: Given data:  Acceleration is constant  Time (t) = 2.7 s Distance traveled (s) = 16.9 m Final…

Q: A grasshopper's legs propel the insect upward at 2.5 m/s. How high can this grasshopper jump?

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Q: A car falls from a height of 25 m. How fast does it go to the bottom??

A: The kinematic equation involving the final speed (v), initial speed (u), acceleration (a) and the…

Q: You jog at 9.5 km/h for 6.0 km , then you jump into a car and drive an additional 18 km. With what…

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Q: A ball is thrown vertically up into the air. It rises to some maximum distance before falling back…

A: Upward direction is taken to be positive. Hence the downward direction is negative. During the…

Q: You drive 6.0km at 50km/h and then another 6.0km at 90 km /h you average speed over the 12km drive…

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Q: A pitcher tosses up a baseball straight up, with an initial speed of 15 miles per second. How long…

A: Given that Initial velocity u = 15 miles per second = 1609.34 m/s  ( vertically upward )

Q: If a tennis ball is thrown upwards and reaches a height of 40m, what will its velocity be once it…

A: Given Data : The height reached by the ball is given as h = 40 m.

Q: 2. A ball rolls off a table and strikes the floor, as shown. If the time the ball spent in the air…

A: Given: Height (h)=1.7m Range (R) = 2.1m Time of flight (T)=0.58 s velocity off the table = u m/s

Q: A car accelerates from rest at 1.0m / (s ^ 2) for 20.0 seconds along a straight road. It then moves…

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Q: Fre is a new driver, wants to see how fast his old car will go.  He goes from a stop sign (0…

A: Given data The initial speed of the car is u=0 miles/hour=0 m/s The final speed of the car is v=30…

Q: An airplane has a lift off speed of 120km/h. If the plane needs a 240m of runway to take off, what…

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Q: Speed of a train is 20 meters per second. It can cross a pole in 10 seconds. What is the length of…

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Q: A rubber ball is made to fall from a height of 70 feet and is observed to rebound 3/4 of the…

A: Distance covered by ball between first and second bounce = 2 x 34 x70 Distance covered by ball…

Q: The Empire State Building in New York City is 381 meters tall.  If a penny were dropped from rest at…

A: Given data The height of the building is given as s = 381 m. The initial velocity of the coin is…

Q: You stand at the top of a cliff while your friend stands on the ground below you. You drop a ball…

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Q: An object starts from rest and accelerates uniformly. If it moves 3 m during the first second, then,…

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Q: When an object is thrown upward, how much speed does it lose each second?

A: When air resistance is neglected, the only force acting on the object will be gravitational force.…

Q: A ball is thrown straight upward with an initial speed of 34 m/s. Assuming no air resistance, how…

A: Given data:  Initial velocity (v0) = 34 m/s, straight upward Air resistance is negligible Required:…

Q: When an object is thrown upwards,how much speed does it lose each second?

A: An object moving vertically upwards is moving under the gravitational acceleration, which is 9.8…

Q: A girl on top of a building drops a baseball from rest at the same moment a boy below throws a golf…

A: 3.969m far will the baseball have dropped when it passes the golf ball. So your answer is 3.969m.

Q: An object is dropped off a building. If it takes 10 seconds to get halfway to the ground, how long…

A: Given data:  Initial velocity (v0) = 0 m/s Time taken to get halfway = 10 s Required: The total time…

Q: If a car has a nonzero velocity then could the acceleration of the car be zero or not?

A: Acceleration gives idea of the change in velocity of body comparative to time.

Q: A basketball is tossed vertically up into the air from the edge of a roof 8.5 m above the ground.…

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Q: How long would it take a water balloon initially at rest to fall a distance of 245m?

A: Using the kinematic equation, s=ut+12at2

Q: You get to a town that is 200km away from you in 2 hrs. What is your average speed?

A: Given: Distance = 200 km and Time = 2 hrs

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 –