A rock of mass 51.2 kg accidentally breaks loose from the edge of a cliff and falls straight down. The magnitude of the air resistance that opposes its downward motion is 15.7 N. What is the magnitude of the acceleration of the rock?

Q: A hot-air balloon is rising upward with a constant speed of 2.93 m/s. When the balloon is 2.03 m…

A: given  initial speed of compass (u)=-2.93 m/s height(s)=2.03 m Acceleration due to gravity (g)=9.8…

Q: A body falls vertically from the height h = 45 metres with its initial velocity equal to zero. What…

A: Height from which the ball falls, h=45 m The initial velocity of the ball, u=0 m/s

Q: A train approaches a small town with a constant velocity of +28.6 m/s. The operator applies the…

A:

Q: The pilot of a jet transport brings the engines to full takeoff power before releasing the brakes as…

A: Given, Acceleration, a=0.36ga=0.36×9.8a=3.528m/s2 Initially jet is at rest. u=0 Final velocity at…

Q: A 7500 kg rocket blasts off vertically from the launch pad with a constant upward acceleration of…

A:

Q: A jet plane lands at a speed of V m/s and travels at the constant speed of V m/s for the first 5 s…

A: Given value--- A jet plane lands at a speed of V m/s and travels at the constant speed of V m/s for…

Q: A 47.0-kg woman decides to take the elevator to the top of the 100.-m Space Needle in Seattle. On…

A: Given:  Mass of woman, m = 47.0 kg Height, H = 100 m Speed during return,  u = 4.00 m/s Stopping…

Q: A bullet is fired through a board 20.0 cm thick in such a way that the bullet's line of motion is…

A:

Q: An object's position in a given coordinate system is described by the vector r = t^2 i - (3t + 3) j.…

A: Write the expression of the position vector, differentiate the expression with respect to time, and…

Q: A stone is being accelerated vertically upward by a string attached to it. Now suppose the string…

A: As the stone moves upwards, the string breaks and the stone slows down. At the top of the path,…

Q: An automobile manufacturer claims that its product will, starting from rest, travel 0.40 km in 9.0…

A: According to the kinematics equation,If the initial velocity is zero because it starts from rest, so…

Q: You wake up in a strange room, and this time you drop a ball from a height of 2.22 m, and observe…

A:

Q: magnitude of the average acceleration

A: Given data: Final speed v= 5.27 m/s Time t=1.14s

Q: In researching the forces that act on flying birds, scientists studied the motion of cockatiels'…

A:

Q: A bullet is moving at a speed of 367 m/s when it embeds into a lump of moist clay. The bullet…

A: Given, Initial speed of bullet, Final speed of bullet, Distance traveled by bullet, Acceleration,

Q: In a local diner, a customer slides an empty coffee cup down the counter for a refill. The cup…

A:

Q: (a) What is the magnitude of the average acceleration of a skier who, starting from rest, reaches a…

A: Given data : Initial velocity u= 0 m/s, rest Final velocity v = 10.8 m/s Time (t) = 3.36 seconds

Q: Mars has an average acceleration due to gravity of 3.72 m/s2. Find the value of acceleration due to…

A: Planets have a considerable amount of mass and thus a considerable amount of gravity.   Any object…

Q: After a constant acceleration of 3.96 m/s/s at 18.9 degrees above the +x-axis is applied by the…

A:

Q: An F-18 Hornet fighter aircraft with a mass of 2.27x 104 kg is catapulted off an aircraft carrier.…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Question 9 The child plays a little longer and gives the car a new acceleration with components ar =…

A:

Q: A basketball player jumps straight up for a ball. To do this, he lowers his body 0.280 m and then…

A: See below

Q: A rocket sled having an initial speed of 107 mi/h is slowed by a channel of water. Assume that…

A:

Q: Falcons are excellent fliers that can reach very high speeds by diving nearly straight down. To pull…

A:

Q: An unidentified flying object (UFO) is observed to travel a total distance of 29000 m, starting and…

A: We have, UFO travel to a total distance of 29000 m time duration, T = 4.77 s 1 g = 9.8 m/s2

Q: Consider a snow boarder going up a 4.5° slope. Assume the coefficient of friction for waxed wood on…

A: Given that --- slope = 4.5 degree friction constant = 0.10  Question ? Calculate the magnitude of…

Q: A falling ball of mass 0.5 kg experiences a downward force due to gravity of mg (where g = 9.8 m/s2)…

A:

Q: You wake up in a strange room, and this time you drop a ball from a height of 1.74 m, and observe…

A:

Q: Cynthia competes in luge competitions during the winter months. She rides solo on a small sled 3…

A: Given:  initial velocity, u = 0  acceleration, a = 6.84 m/s/s time, t = 2.39 s

Q: he pilot of a jet transport brings the engines to full takeoff power before releasing the brakes as…

A:

Q: A ball is thrown vertically upward, which is the positive direction. A little later it returns to…

A: Write the kinematic equation of motion. Rearrange equation (I) to find the expression for initial…

Q: The acceleration on a falling cricket ball is not constant due to air resistance.  The time…

A:

Q: A basketball player jumps straight up for a ball. To do this, he lowers his body 0.290 m and then…

A: in this question we use equation  of motion.

Q: A 7500-kg rocket blasts off vertically from the launch pad with a constant upward acceleration of…

A:

Q: Two ropes are attached to a 55 kg object. One has magnitude 65 N directed 59° clockwise from the…

A:

Q: While an elevator of mass 2620 kg moves upward, the tension in the cable is 48.9 kN. Assume the…

A: mass of elevator(m)=2620kg tension in the cable(T)=48.9 kN=48900N (ACTING IN UPWARD DIRECTION) g be…

Q: The acceleration on a falling tennis ball is not constant due to air resistance.  The time…

A:

Q: An elevator is initially moving upward at a speed of 13 m/s. The elevator experiences a constant…

A:

Q: An object has a constant acceleration of a=3 m/s^2 without other forces intervening. A second layer…

A:

Q: Falcons are excellent fliers that can reach very high speeds by diving nearly straight down. To pull…

A: While free fall of the falcon the acceleration falcon is experiencing is the acceleration due to…

Q: What is the y component of the car's acceleration (in m/s^2)?

A: Second kinematic equation in y-direction is given by,                  Y = v0yt + 12ayt2     ----(1)…

Q: You are designing a high-speed elevator for a new skyscraper. The elevator will have a mass limit of…

A: Given:-The elevator will have a mass limit of 2400 kgmaximum ascent speed to be 18.0 m/sThe maximum…

Q: An elevator is initially moving upward at a speed of 13 m/s. The elevator experiences a constant…

A: Initial upwards speed of elevator (vo) = 13 m/sMagnitude of constant downwards acceleration = 3.5…

Q: A hot-air balloon is rising upward with a constant speed of 2.39 m/s. When the balloon is 6.74 m…

A:

Q: In a local diner, a customer slides an empty coffee cup down the counter for a refill. The cup…

A: The customer slides an empty coffee cup on the counter bar. This cup keeps sliding on the counter,…

Q: A bullet shot straight up returns to its starting point in 59.1 s. embedding itself 16.9 cm deep in…

A:

Q: A plot of the horizontal position x vs. time t will have a constant and positive slope The…

A: When a particle is thrown obliquely near the Earth's surface, it moves along a curved path. Such 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 –