Use the fact that the distance (in meters) a dropped stone falls after t seconds is d = 4.9t2. A woman stands near the edge of a cliff and drops a stone over the edge. Exactly one second later she drops another stone. One second after that, how fast (in m/s) is the distance between the two stones changing?

Q: An object moves along the positive x-axis with a speed of V, =4 m/s for 2 seconds, then moves along…

A: Given: The velocity V1 is 4 m/s. The time duration is 2 s. The velocity V2 is 7 m/s. The time…

Q: A spaceship is traveling at a velocity of v0 = (37.3 m/s)i when its rockets fire, giving it an…

A: Data Given ,  Initial velocity ( V0 ) = ( 37.3 i ) m/s Acceleration ( a ) = ( 2.55 i + 4.19 k ) m/s2…

Q: A student estimates that his daily commute to college consists of 10 minutes driving at a speed of…

A: Given v(t) vs t graph:

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: If you drive from Santa Cruz to San Jose, and back to the same place you started in 1.5 hours. What…

A: Given: Let, the time to drive from Santa Cruz to San Jose is t1, and the time taken back to the…

Q: n object undergoes acceleration 1.2i+2.4j m/s2 for 4.5 s at which time its velocity is 21i+11j m/s.…

A:

Q: The displacement of a particle is given by s = 2t3 - 48t2 + 100t - 69 where s is in feet and t is in…

A:

Q: Tony stark happens to be standing beside thor as thor drops Mjolnir off of stark tower(425m). Tony…

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: The Space Shuttle travels at a speed of about 8.15 x 103 m/s. The blink of an astronaut's eye lasts…

A: Speed of the space shuttle,  Time taken by the astronaut to blink,  Length of the football field,

Q: As a science project, you drop a watermelon off the top of the Empire State Building, 320 m above…

A:

Q: You need to drive 69.7 km (43.3 miles) for an interview. The interview is at 11:15 am, you leave at…

A: The total distance to be covered is - D = 69.7 km , You decided to drive at 100 km /hr . Let's…

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: Nerve impulses in the human body travel at a speed of about 100 ms-1. A 1.6m tall man accidentally…

A: Given data The speed of the nerve is given as v = 100 m/s. The height of the man is given as h =…

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: golf ball is hit horizontally off the edge of a 21 m high cliff and lands a distance of 36 m from…

A: Given  Height of Cliff, h = 21 m  Horizontal distance, D = 36 m  Initial velocity, in x direction is…

Q: A pilot flies in a straight path for 1h 30 min. She then makes a course correction, heading 11…

A:

Q: n object's velocity as a function of time in one dimension is given by the expression; v(t) = 2.71t…

A: Object's velocity as a function of time is Find:Object's velocity at time

Q: If the nerve cell connecting the spinal cord to your feet is 1.9 m long, and the nerve impulse speed…

A: The objective of this question is to find out the time it takes for a nerve signal to travel from…

Q: From January 26, 1977, to September 18, 1983, George Meegan of Great Britain walked from Ushuaia, at…

A: Basic Details The average velocity is the ratio of total distance covered to that of the total time…

Q: Consider the game of baseball. A pitcher throws a ball to the catcher, with a speed of 86 miles per…

A:

Q: A stone is thrown downward with a speed of 20 m/s from a height of 15 m. (acceleration due to…

A: Given value--- initial speed = 20 m/s. height = 15 m. acceleration due to gravity = 10 m/s2.  We…

Q: A microorganism swimming through water at a speed of 150 \mu m/s suddenly stops swimming. Its speed…

A:

Q: Superman needs to save Lois from the clutches of Lex Luthor. After flying for 12 seconds, he is 1900…

A:

Q: You throw a tennis ball straight up. It takes 7.0 seconds to go up and then return to your hand. How…

A:

Q: The figure here shows the speed v versus height y of a ball tossed directly upward, along a y axis.…

A: Given : d = 0.37 m vB = vA/3

Q: As you are driving to school one day, you pass a construction site of a new building and you stop to…

A:

Q: A gnat takes off from one end of a pencil and flies around erratically for 17 s, seats on a wall for…

A: Formula for average speed is  v = total distance traveled/ total time taken  Given  Total distance…

Q: 1 4. The plot below shows the velocity of a hockey puck as a function of time. The puck starts at…

A: We are given velocity versus time graph. We draw position vs time and acceleration vs time graph by…

Q: A ball is thrown straight down at 1.29 m/s and hits the ground 1.07 seconds later. How many meters…

A: Given  Initial velocity u = 1.29 m/s Time of flight t = 1.07 sec Accelerated = g = 9.8 m/s2

Q: one from the deck of a bridge. cer. The speed of sound is 342 rels from the water surface up

A: When the stone hits the water surface, sound waves are generated and propagated in all possible…

Q: You throw an object up with a speed of Voy=1m/s from a height of y=25m. What is the object's final…

A:

Q: find the total displacement of the graph

A: Given data: Velocity-time graph

Q: the earth is approximately 1.5x10^8 km from the sun. how many minutes does it take light to travel…

A: Speed of light is Distance between the Earth and sun is Note:Find:Time taken by light to travel from…

Q: The Space Shuttle travels at a speed of about 6.23 x 103 m/s. The blink of an astronaut's eye lasts…

A: We have,Speed of space shuttle, v=6.23×103 m/sTime taken to blink eyes of astronaut, t=117 msLength…

Q: Moving sidewalks are installed every other 50 meters along the entire stretch of an airport walkway.…

A: The given values with suitable variables are listed below. Here, d denotes the distance of…

Q: Gaby and her cousin, Fiona, live 45 km apart.  Every day, they drive by one another to get to work.…

A: Given data  Distance between them ,D = 45 m/s  Speed of Gaby, Vg = 60 km/h  Speed of fiona ,Vf = 10…

Q: 7. The three-toed sloth is the slowest-moving land mammal. On the ground, the sloth moves at an…

A:

Q: Amel goes for a walk with a speed of 3kph. After 30 minutes of walk, his wife follows him. Walking…

A: Given:  speed of Amel vA=3Kphtime gap between Amel and his wife = 30min =0.5 hrdistance travel by…

Q: When they are apart by 425m, the famous twins Isaac and Albert Neuman begin approaching each other.…

A: Let after time t Issac and Albert meet. Given: Speed of Issac is 12.7 m/s. Speed of Albert is 3.8…

Q: A bird flew 635 km from Cebu to Manila with an average speed of 35 m/s. How long, in hours, did it…

A: Given: The distance covered is 635 km. The average speed is 35 m/s.

Q: A burst water pipe in the city means you have to drive at a steady 12 km/h. Once past this obstacle,…

A: Final speed of the car is 92 Km/H

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 –