A cameraman on a pickup truck is traveling westward at 20 km/h while he records a cheetah that is moving westward 30 km/h faster than the truck. Suddenly, the cheetah stops, turns, and then runs at 45 km/h eastward, as measured by a suddenly nervous crew member who stands alongside the cheetah’s path.The change in the animal’s velocity takes 2.0 s.What are the (a) magnitude and (b) direction of the animal’s acceleration according to the cameraman and the (c) magnitude and (d) direction according to the nervous crew member?

Q: A space shuttle’s coordinates as functions of time are given by x(t) = 7.0 t^3 and y(t) = 4.0t^2 -…

A: Coordinates of space shuttle are given: x - coordinate (x) = 7t3…

Q: The 18th hole at Pebble Beach Golf Course is a dogleg to the left of length 496.0 m. The fairway off…

A: Solution: Given that golfer hits his tee shot a distance of 200 m, corresponding to a displacemen…

Q: Can someone please help me understand what I'm doing wrong on this one?

A: Acceleration is the rate of change of velocity. It is equal to the slope of the graph about the…

Q: A jetliner can fly 4.8 hours on a full load of fuel. Without any wind, it flies at a speed of 2.68…

A: Total travelling time (t) = 4.8 hours => t = 4.8 × 60 × 60=> t = 17280 sLet plane can travel…

Q: A police officer is driving due north at a constant speed of 28 m/s relative to the ground when she…

A: As per the question, Given data: Velocity of car with respect to ground = 28 m/s Velocity of truck…

Q: A child starts at one corner of a cubical jungle gym in a playground and climbs up to the diagonally…

A: We have to understand vector displacement.

Q: A high-tech drone flies over Miami, FL in a direction 59° west of north with a speed of 39 km/h.…

A:

Q: A car is 2.54 km west of a traffic light at t = 0 and 5.91 km east of the light at t = 6.00 min.…

A: The position of light is at origin ie (0,0). The distance coordinate of any position is expressed…

Q: A dog slips out of its collar while going for a walk and runs away at full speed.  By the time the…

A:

Q: You are driving down a highway and you pass mile marker 45. A while later, you pass mile marker 112.…

A: Given data:  Initial position = 45 miles Final position = 112 miles The highway is perfectly…

Q: A block of solid copper sits on a flat, level shelf. Copper has a density of 8.94 x 10 kg/m. The…

A: A block of solid copper sits on a fiat, level shelf. Copper has a density of 8.94 x 10 kg/m. The…

Q: A bottle rocket is launched straight up. Its height in feet (y) above the ground x seconds after…

A: Given: The equation of motion is given as, y=-16x2+124x+8

Q: Arvin the Ant is on a picnic table. He travels 30 cm northeast, then 25 cm due north, and finally 15…

A: Given data: Ant travels 30 cm northeast, then 25 cm due north, and finally 15 cm west Need to…

Q: The Lost Drone. You and your team are exploring the edge of an Antarctic mountain range and you send…

A: Given that The angle turned after 5 minutes is β=35o east of south  The velocity vs time graph The…

Q: A man is lost in a thick forest. Confused and clueless as to what direction to take, he walks a…

A: The net displacement should be zero. A+B+C=0 C=-(A+B) A=5cos25i+5sin25j=4.53i+2.11j…

Q: A swimmer who can consistently keep the same pace to cover 50 meters in 7.71 seconds sets out to…

A: The height h=50m  Time t=7.71s  To find the actual speed of the swimmer

Q: A ladybug is trying to get to a certain flower by following this path. She moves 23 cm to the left,…

A:

Q: Sarah is traveling 22km due South. She turns 20° S or E for 16km. She then turns due N for 40km, she…

A:

Q: A skunk takes the two-part walk in the overhead view of this figure: d₁ = 5.00 m, d2 = 8.00 m, 0₁ =…

A: Step 1:Given:d1​=5.00md2​=8.00mθ1​=60.0∘θ2​=30.0∘Unknown:The net displacement of the skunk: d=?Step…

Q: wo friends, Barbara and Neil, are out rollerblading. With respect to the ground, Barbara is skating…

A: (a) Barbara sees that Neil is moving away from her at 2.5 m/s due to relative motion between her and…

Q: Two friends, Barbara and Neil, are out rollerblading. With respect to the ground, Barbara is skating…

A:

Q: A car traveling with an initial velocity in m/s (blue vector) has an acceleration in m/s2 (red…

A: We know from the equation of motion, the speed of an object at time t is given as, v = u + at

Q: A web page designer creates an animation in which a dot on a computer screen has 4) position r=[4…

A: Here given the position of a dot of computer screen is r= [4cm + (2.5cm²)t²]i  + (5cm/sec)t j We…

Q: Luis is visiting a public garden that has a large, circular path. When he has walked one-quarter of…

A:

Q: The kinematic equations can describe phenomena other than motion through space and time. Suppose x…

A: Acceleration is defined as the rate at which v changes; v is the time rate change of money i.e.…

Q: The position of a squirrel running in a park is given by 7- (0.280 m/s)t-(0.0360 m/s²)²+ (0.0190…

A: Given, The position of the squirrel, r→=0.280mst+(0.036ms2)t2i^+0.0190ms3t3j^

Q: You are standing on a street corner with your friend. You then travel 14.0 m due west across the…

A: Displacement vector is, r→=14.0 m-i^+22.0 mj^+12.0 m-k^+6.0 mi^=-8.0 mi^+22.0 mj^-12.0 mk^

Q: A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed…

A: (a) The kinematic equations for displacement in X and Y direction are shown below.

Q: Morty is supposed to meet up with Rick, who is 50 mi north and 100 mi east of Morty,after exploring…

A:

Q: Two officials, Jordan and Jimmy, are working a Uva-Wise basketball game. They are both standing near…

A: given: 1. Jordan walks 50 feet along the baseline,  turns and  walks 50 more feet to the scorer’s…

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: A man runs full speed towards 40m north. He turns around and runs back 5m south and stops under a…

A: Displacement is define as  the shortest length between initial and final position. Also displacement…

Q: 2. Car A is traveling east along HWY 7 at a constant speed of 50 km/h and passes the intersection of…

A: Car A traveling towards East with constant speed 50 km/hr. Car B moving towards south with constant…

Q: 1. A golf ball is hit off a tee at the edge of a cliff. Its x and y coordinates versus time aregiven…

A:

Q: During Mia’s recent trip to the grocery store, she walked 18 m to the end of an aisle. She then made…

A:

Q: Which of the following is the correct conversion of 300Mm/s in SI?   Group of answer choices No…

A: In the given problem we have to convert 300Mm/s in SI The given quantity is velocity. SI unit of…

Q: The position of an object as a function of time is given by r = (3.2t + 1.5t2)i + (1.7t -2.0t2)jm,…

A:

Q: A space shuttle’s coordinates as functions of time are given by x(t) = 7.0 t^3 and y(t) = 4.0t^2 -…

A:

Q: Question 4: An object is moving in the x-y plane according to the following formulas: x = 25t and y…

A:

Q: The kinematic equations can describe phenomena other than motion through space and time. Suppose x…

A: The kinematic equations have applications beyond describing motion in space and time. Consider a…

Relative Velocity

It is a measurement of an object with regards to the other object which is moving or stable or stationary. For example, if we are traveling in a bus and the bus is moving at speed of 50km/hr, then our speed is according to the nearby passenger on the bus is zero. According to them, we are not moving. But if one person standing on the ground or road observes us from outside of the bus, according to him we are moving at a speed of 50km/hr and the bus is also moving at a speed of 50km/hr. Now, the motion is recognized by the observer, it depends on a frame of reference or observer. This is motion called relative motion.