A speedboat increases its speed uniformly from vi = 20.0 m/s to vf = 33.0 m/s in a distance of Δx = 2.40 ✕ 102 m. vf2 = vi2 + 2a(Δx) a) solve the equation above symbolically for the boat's acceleration in terms of vf, vi, and Δx. b) Substitute given values, obtaining the acceleration. c) Find the time it takes the boat to travel the given distance.

A car traveling 56.0 km/h is 23.0 m from a barrier when the driver slams on the brakes. The car hits the barrier 2.05 s later. a) What is the magnitude of the car's constant acceleration before impact? b)  How fast is the car traveling at impact?

9 ΔΔΔ Δ Δ ΔΔΔΔΔΔΔΔΔΔΔΔΔΔΔΔΔΔΔΔΔΔΔΔΑ What is the approximate total displacement based on the graph below? use 2 sfs. Approximate the values on each axis to the best of your ability. 560 (velocity mis 50 2240 30 P 10 123 I 3 4 5 Time (s) 1 678 9 2

A cyclist rides down a long straight road at a velocity (in m/min) given by v(t) = 400 - 20t, for 0≤t≤ 10. a. How far does the cyclist travel in the first 3 min? b. How far does the cyclist travel in the first 10 min? c. How far has the cyclist traveled when his velocity is 350 m/min?

When the motorcyclist is at A, he increases his speed along the vertical circular path at the rate of v = (0.04s) ft/s² where s is in ft. Take p = 270 ft. ▼ Part A V If he starts at V₁ = 2 ft/s where s = 0 at A, determine the magnitude of his velocity when he reaches B. = Express your answer to three significant figures and include the appropriate units. μÅ Value Units Submit Part B = P 0 O μà 60° Submit Also, what is his initial acceleration? Express your answer to three significant figures and include the appropriate units. Value Units Request Answer P Request Answer ? ?

4. A robotic vehicle is exploring the surface of Mars. The robot, which is represented as a point, has x - and y-coordinates that vary with time: x = (3 − 2t); y = (-t² + 4t³) where x and y are in meters and t is in seconds. a. Find the average velocity of the robot between t = 0s and t = 2s. b. Find the average acceleration of the robot between t = 0s and t = 2s. c. At what time the acceleration of the robot will be zero. a. Vavg= -21 + 14ĵ m/s b. davg = 22ĵ C. m s² 2 t = = = 0.083 s 24

You are trying to find the acceleration of an object, but each one of you has come up with a different fomula. Check the units to see if you can eliminate any formulas as being wrong

What is the value of C if he object stops in 8.00 s after t = 0?

Problem 3: You throw an object up with a speed of voy = 7 m/s from a height of y = 25 m. %3D Part (a) How long, in seconds, does it take for the object to reach the ground? Numeric : A numeric value is expected and not an expression. %3D

A particle travels along the +x axis. At t = 0 s, its velocity is 10.0 m/s and its acceleration is -2.0 m/s^2.  Question A: Which of the following statements is true?           1. The particle will slow down and eventually come to a complete stop           2. The particle cannot have a negative acceleration and be moving in the positive x direction           3. The particle will continue to move in the positive x direction, slowing but never coming to a complete stop.           4. The particle will slow down, stop momentarily, then speed up in the x- direction.  Question B: At what time will the particle be stopped?           1. t = 5.0 s          2. t = -5.0 s          3. t = -0.2 s          4. The particle does not ever stop  Question C: What is the particle's displacement from its initial position at t = 10.0 s ?  Please Answer questions A, B, and C