Driving down the road at a speed of 32.7 m/s, you suddenly notice a fallen tree blocking the road a distance of 67.9 m ahead of you. You step on the brake pedal and decelerate at a constant rate. What must the magnitude of your acceleration be so that you will come to a stop 7.1 m in front of the tree? 7.13 m/s^2 17.59 m/s^2 8.79 m/s^2 7.87 m/s^2

Q: A bus travels 2.0 x 102m with a constant acceleration of magnitude 1.6 m/s2. How long does the…

A: Given   Distance d= 2*10² m Acceleration=a =1.6 m/s² Vi = initial velocitt = 8.0 m/s

Q: cheetah can accelerate from rest to 23.5 m/s in 2.00 s. Assume that the acceleration is constant…

A: Given: The initial speed of the cheetah is 0 m/s. The final speed of the cheetah is 23.5 m/s. The…

Q: A person who walks for exercise produces the position-time graph shown. Calculate the average…

A: Since the person is travelling in the positive x-direction along A with time, A indicates positive…

Q: Problems 1-4 Information: A bird flies in a straight line at position s(t) = 3cos(2t) + 4t + t…

A: Given: The distance flew by the bird is a function of time. s(t)=3cos(2t)+4t+t3 meters.

Q: A particle moving in 1D has time-dependent velocity which is given by the quadratic function v(t) =…

A: a. the acceleration of the particle is

Q: A stone is dropped from rest from the top of a high rise. It takes t=3.4s for it to reach the…

A: The displacement is Y Acceleration is a Time period T Initial velocity Vi The expression of…

Q: At time t=0.0 s a particle is located at x = 4.0 m and y = 1.0 m. The particle has an initial…

A: Given: Particle's initial position at time t=0 s is given as x=4 m and y=1 m. Particle's initial…

Q: You stand at the edge of a 22.0 m high cliff and throw a stone straight down with a speed of 8.00…

A: Initial velocity, u = 8 m/sFinal velocity, v = 22.3 m/s

Q: A rocket-powered sled moves along a track, eventually reaching a top speed of 212 m/s to the west.…

A:

Q: constant acceleration as it slides down a frictionless incline. The block is released from rest at…

A: GivenThe block is released from restInitial velocity of block is zero, u=0At Distance, s=7 m , v=3.8…

Q: A runner runs 1.29 km in 2.4 min and then takes 5.0 min to walk back to the starting point. What is…

A: First Part: When a particle has moved from a position x1 to position x2 during a time interval…

Q: a) Particle A moves uniformly along the path p = 1/2x ^3. What are the velocity and acceleration…

A:

Q: Driving down the road at a speed of 30.1 m/s, you suddenly notice a fallen tree blocking the road a…

A: Given in question -  Speed(v) = 30.1 m/s Distance(D) = 78.5m Distance before tree(d) = 7.1 m To find…

Q: The figure gives the acceleration a versus time t for a particle moving along an x axis. The a-axis…

A:

Q: rts from rest, then accelerates at a constant rate over a distance of 73 m. It then immediately…

A: We know that the car starts from rest and accelerates with an acceleration of a  m/s2. and travel a…

Q: A car is driving along an x-axis where the position function is:  x(t) = A + Bt5  A = 7 m and B =…

A:

Q: The position of a particle moving along the x axis is given by x(t) = 2.8t2 - 3.5t3, where x is in…

A:

Q: A ball is thrown upward with an initial velocity of 25.0 m/s at time t = 0.0 s, from a roof 50 m…

A: Height, H =50 m  initial velocity, u = 25 m/s

Q: From the top of the engineering building, you throw a ball vertically upward. The ball strikes the…

A: Given : t=4s, h=35m, g=10m/s2 Let the initial velocity of the ball be u. Applying kinematic…

Q: The figure shows the velocity of a particle as it travels along the x-axis. What is the directi…

A:

Q: A rocket is launched from the origin with an acceleration of 20.0 m/s2 at an angle of 30.0 degrees…

A:

Q: A student begins at rest and then walks north at a speed of v1 = 0.55 m/s. The student then turns…

A: Given: Speed v1 = 0.55 m/s along north direction Speed v2 = 0.53 m/s along south direction Taking…

Q: A rock is kicked with an initial horizontal velocity of 10.0 m/s in the positive x direction from…

A:

Q: An object starts at rest.  It accelerates in the +x direction at 6.6m/s^2 for 5.2 sec.  How far does…

A: Given: Initial velocity (u) = 0 ......(object is at rest) Acceleration (a) = 6.6 m/s2 Time (t) = 5.2…

Q: A driver is traveling 18.0 m/s when she sees a red light ahead. Her car is capable of decelerating…

A: Given u=18m/s (initial velocity of car) t1=0.380 s (time for driver to hit the brakes) Distance…

Q: While standing on a bridge 19.0 m above the ground, you drop a stone from rest. When the stone has…

A:

Q: The figure shows the velocity of an object as it travels along the x-axis. What is the closest value…

A:

Q: The position of an object as a function of time is given by x(t) = bt³ - ct² + et where b = 1.8…

A: Given value--- x = b t³ - c t² + e t - f . We have to find--- Instantaneous acceleration at t =…

Q: A particle moves along the +ve direction of x-axis. Its position x depends on time t as…

A: Given:Position of particle (x)=at3+bt2+c+d

Q: As an airplane is taking off at an airport its position is closely monitored by radar. The following…

A: Given data, Position x1=454.85 m at 5.5 s x2=527.6 m at 6 s x3=605.85 s at 6.5 s

Q: A wild horse starts from rest and runs in a straight line 29° north of west. After 33 s of running…

A: Given: Horse running in direction = 29° north of west Initial speed, v = 15 m/s time, t = 33 s

Q: A Honda Civic travels in a straight line along a road. Its distance x from a stop sign is given as a…

A:

Projectile Motion