An object is launched vertically in the air at 31.85 meters per second from a 4​-meter-tall platform. Using the projectile motion model h(t)=−4.9t2+v0t+h0, where​ h(t) is the height of the projectile t seconds after its​ departure, v0 is the initial velocity in meters per​ second, and h0 is the initial height in​ meters, determine how long it will take for the object to reach its maximum height. What is the maximum​ height? The object will reach its maximum height in how many seconds. what is the maximum height obtained by the ball

Q: The coordinate of an objec is given as a function of time by.x(1)=7t-3t2, where in meter and t in…

A: Given, Position, x(t)=7t-3t2

Q: An object moving vertically is at the given heights at the specified times. Find the position…

A: At t = 1 s and s = 193 ft, equation becomes as follows: 193=12a12+v∘1+s∘193=a2+v∘+s∘…

Q: A ball is kicked with an initial velocity of 19 m/s in the horizontal direction and 19 m/s in the…

A:

Q: A particle’s velocity along the x-axis is described by v(t) = A t + B t2, where t is in seconds, v…

A:

Q: Question 9. Michael Jordan, formerly of the Chicago Bulls basketball team, has some fanatic fans.…

A: Time of flight ,t= 2 sec

Q: ne function s(t) describes the positi coordinate line, where s is in feet a t) = t³ – 15t², t > 0 )…

A: Velocity = ds/dt Acceleration =dv/dt

Q: Mayan kings and many school sports teams are named for the puma, cougar, or mountain lion Felis…

A: H = 11.1 ft  = 3.38 m Angle of projection = 47.8 oUsing, equation of motion in Y direction Vy2 -…

Q: The position vector 7 = (4.30t)î + (et + ft²) locates a particle as a function of time t. Vector is…

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: se the position equation s = −16t2 + v0t + s0 where s represents the height of an object (in feet),…

A: Givens = -16t2 + v0t + s0s0=0v0 = 128 feet per second

Q: A model rocket shot straight upward with an initial velocity of vo = 25 m/s will reach a height of h…

A: Given data: Initial velocity of rocket, vo=25 m/s Height, ht=-4.9t2+25t

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

A: Given : x = 17.2t y = 4.16t - 4.90t2 t = 3.18 s

Q: A rabbit runs across a parking lot. The coordinates of the rabbit's position (in meter) are given by…

A: Consider the x-coordinate of the rabbit’s position. On differentiating the above equation with…

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: Question 3 3. A ball is shot from the ground into the air. At a height of h= 9.1 m, its velocity is…

A: Let, the x-component of velocity be denoted as Vx , the y-component of velocity be denoted as Vy ,…

Q: A cannon is set to launch horizontally off of a cliff. You measure that it takes 5.19 s for the…

A: Given Time taken by the canon ball to land is t=5.19 s Horizontal displacement of the canon ball is…

Q: The vector position of a particle varies in time according to the expression i = 3.80 î - 7.60tj…

A:

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: What is the magnitude of the horizontal displacement of a body moving at (5i + 3j) m/s after 5…

A:

Q: An object is fired vertically up from the edge of the top of a 80 m high building. It reaches the…

A:

Q: A particle is moving in three dimensions and its position vector is given by; r(t) = (4t² + 1.7t) î…

A:

Q: The position vector 7 = (3.50t)î + (et + ft²) locates a particle as a function of time t. Vector is…

A:

Q: The velocity of a particle is given by v = 23t2 - 110t + 52, where v is in meters per second and t…

A: Given data: Velocity of particle, v=23t2-110t+52

Q: Problem 1: An object is thrown off the top of a building with velocity 26 m/s at an angle of 35°…

A: Given data: Initial velocity of object, u=26 m/s Angle from the horizontal, θ=35o Time of flight,…

Q: An adventure racer ran 1.7 km north, then 3.2 km 63° to the south of due east, then 1.4 km west. She…

A: Answer..

Q: The position function for a falling objects is given by s (t) = -16t2 + vot + s0, where s (t) is the…

A: Given  The initial height is so = 0. The initial velocity is vo = 30 ft/s. The position function is…

Q: Consider a ball fired from a table that is h(m) high with a horizontal velocity v(m/s). Which of the…

A: Initial height of the ball is  from ground level.Horizontal velocity is Find:Time taken by the ball…

Q: An aeroplane moves so that at time t seconds, its position vectors, r metres, is given by: r= (40t)i…

A:

Q: The coordinate of an object is given as a function of time by x(t) = 6t2 - t3, where x is in meters…

A:

Q: Shown below is a graph of velocity-versus-time for a moving object. The object starts at position x…

A: Initial velocity at t= 0s is 4m/sFinal velocity at t = 2s is 2m/sFinal velocity at t=4s is 2m/s

Q: Starting from rest, a particle moving in a straight line has an acceleration of a = (2t−6)m/s^2 ,…

A: Given data: Acceleration a =2t-6 ms-2 Time t= 6s To determine Position at Time t = 11 s

Q: At a time t seconds, after it is thrown up in the air, a tomato is at a height (in meters) of…

A: According to question we need to find that tomato How long is the tomato in the air?

Q: The horizontal distance traveled by a ball moving with initial velocity v0 is x = v0,xt  where v0,x…

A:

Q: Figure 1 shows the velocity-time graph of a person moving along one straight path called the x-axis.…

A:

Q: A soccer ball is kicked from the ground at an angle of θ = 42 degrees with respect to the…

A:

Q: An object begins to move along the y axis and its position is given by the equation y = 4t2 − 3t −…

A:

Q: The velocity of an object in one- dimensional motion is v(t) = (3.00 t + 5.00 t2) m/s, where t is…

A: Acceleration is nothing but the rate of change of velocity i.e change is velocity per time. So in…

Q: An athlete is training on a 100 m long linear track. His motion is described by the graph of his…

A: An athlete is training on a 100 m long linear track. His motion is described by the graph of his…

Q: The position vector of a particle is given as r = (t^2-6t+8)i + (t^2-9)j Find the magnitude…

A: Position vector is the vector form of displacement by the body when it is in motion. r→=ati^+btj^…

Q: Data Table B: Predict the Range Angle above horizontal = 45 Horizontal distance to edge of paper…

A: Given:  Vertical Distance = 100cm = 0.1m Angle about horizontal = 45o g = 9.81 m/s2

Scalars and Vectors

Scalars and Vectors are the classification of physical quantities that are used to denote various terms in physics.