Velocity and Acceleration  A brick becomes dislodged from the top of a building (at a height of 1,240 feet) and falls to the sidewalk below. (Let the position function for a free-falling object be  −16t2 + v0t + h0.) (a) Write the position, velocity, and acceleration functions of the brick. s(t) = −16t2+1240       v(t) = −32t       a(t) = −32     (b) How long does it take the brick to hit the sidewalk? (Round your answer to two decimal places.)   s (c) How fast is the brick traveling when it hits the sidewalk? (Round your answer to one decimal place.)   ft/sec

Q: 10 m

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Q: speed of the object at t = 2.9 s

A:

Q: A robot has been designed and is tested on the course above (A-B-C-D-E). If the robot takes 3.4…

A: Required to find the average speed of the robot.

Q: a rock is thrown at t=0 seconds and the function time is h=-4.9t^2+76t+227 when will the rock hit…

A: Given: The function of time is. ht=-4.9t2+76t+227…

Q: Find the magnitudes of velocities v, and vg in the figure below, where, e = 20.5° and veot = 6.56…

A: θ = 20.5° Vtot = 6.56 m/s To find = VA and VB

Q: You throw a ball straight from a roof top 160 ft high with an initial speed of 48 ft/s. The formula…

A: Height of rooftop = 160 ft Initial speed = 48 ft/sec The formula for height : h = -16 t2 + 48t + 160…

Q: Suppose that an object is dropped from a height of  h meters and hits the ground with a velocity of…

A: an object is dropped from a height, h = 25.8 m

Q: V? = V? + 2a A æ Ax= Ax=V° - V;? | 2a (0 m/s)² –(30.0 m/s)² 2(-8,00 m/s²) = 56. 25 m

A: This is a equation from kinematics. and here Vi = 30.0 m/s and the acceleration (a) = -8.00 m/s^2…

Q: A ball is thrown horizontally off a tower. It takes 4 seconds to land. How high up is the tower? Be…

A: Given data: Ball thrown horizontally Time (t) = 4 s Required: Height of the tower

Q: A ball is launched from (0, 0, 8) towards a target on the x-axis at (20, 0, 0). The initial velocity…

A: Solution:For horizontal motion along the x-axis, we get:x = vx tApplying values we get:20 =5×t⇒t = 4…

Q: Use the following graph of the motion of a vehicle to answer the fo Displacement (meters…

A: 1. The vehicle has changed directions where the graph is inverting, it happened 4 times.

Q: You walk in the direction of the unit vector (1, 0, 0) a distance of 24 m at a constant speed of 3.0…

A:

Q: A swimmer heading directly across a river 400 m wide reaches the opposite bank in 3 min 20 s. She is…

A:

Q: An astronaut is exploring a planet which has a gravitational acceleration of only 5.59 m/s2. If the…

A: Given data The initial velocity is given as u = 13.7 m/s. The acceleration applied on the ball is…

Q: Find the magnitudes of velocities V and vg in the figure below, where, 8 = 24.0° and tot VA IVB Vtot…

A:

Q: The motion of a body is described by the equation  4.45 sin (0.490πt) where t is in s and y is in m.…

A: The given equation (y),

Q: A car drives horizontally off the edge of a cliff that is 44.9 m high. The police at the scene of…

A: V= 32.441  m/s

Q: Consider two vectors in the xy plane, A and B such that A. B = 2.03. Find the value of Bif AT Ay By…

A: Given data: Ax = -2.03 Ay = 4.25 By = 3.63 Dot product of vector A and vector B A.B = 2.03 Required:…

Q: x = 3t3 + 4t + 5.

A: Refer attachment

Q: A skydiver jumps out of a helicopter and falls freely for 1s before opening the parachute.How far…

A: Given Data: The time after jump skydiver opens parachute is: t=1 s The gravitational acceleration…

Q: An object is thrown upward at a speed of 55 feet per second by a machine from a height of 18 feet…

A: initial velocity u = 55ft/sec initial position = 18ft  h(t)=-16t2+55t+18   ---------eqn(1)

Q: A person walks along the path shown below from point A to point B.

A: Displacement is defined as the minimum distance possible between the two points. here the…

Q: The v-t graph for the motion of a car as it moves along a straight road is shown. When t = 0, s = 0.…

A:

Q: An object's position is given by r(t) = [a + ßt] i + [y+ot²] 3 where • d = 2.86 m B 3.5 m/s • Ύ 3.15…

A:

Q: An apple dropped from a hot air balloon reaches the ground in 29.7 s. Determine the height the apple…

A: We will answer the question using kinematic equation of motion. The details are as follows.

Q: tcos(angle) x-x0 1.4 28 1.8 36 2.1 42 2.2 45 2.15 44 1)plot a graph of x-x0 vs tcos(angle) 2)Find…

A: graph between x-x0 vs t cos(angle)   find value of initial speed.

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 –