A speedboat starts from rest at t = 0 s, and speeds up with a constant acceleration of 4.01 m/s2 for 6.00 s. Then it continues with a uniform speed for another 6.00 s. Finally, it slows down with a constant acceleration of −3.41 m/s2 . In your written work, include the velocity vs. time and acceleration vs. time graphs for this motion. The numerical values on the graphs are required.
(a) How long does it take for the speedboat to come to a full stop? Time is measured from the beginning at t = 0 s s
(b) What is the total displacement of the speedboat? m
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A speedboat starts from rest and accelerates at +2.01 m/s2? for 6.90 s. At the end of this time, the boat continues for an additional 5.80 s with an acceleration of +0.518 m/s2. Following this, the boat accelerates at-1.49 m/s2 for 8.15 s. (a) What is the velocity of the boat at t = 20.85 s? (b) Find the total displacement of the boat.
A speedboat starts from rest and accelerates at +2.20 m/s2 for 8.87 s. At the end of this time, the boat continues for an additional 4.43 s with an acceleration of +0.626 m/s2. Following this, the boat accelerates at -0.983 m/s2 for 6.32 s. (a) What is the velocity of the boat at t = 19.62 s? (b) Find the total displacement of the boat.
A speedboat starts from rest and accelerates at +2.01 m/s2 for 6.65 s. At the end of this time, the boat continues for an additional 5.70 s with an acceleration of +0.518 m/s2. Following this, the boat accelerates at −1.49 m/s2 for 8.65 s. (a) What is the velocity of the boat at t = 21 s? m/s (b) Find the total displacement of the boat. m
A speedboat starts from rest and accelerates at +2.01 m/s2 for 7.10 s. At the end of this time, the boat continues for an additional 6.15 s with an acceleration of +0.518 m/s2. Following this, the boat accelerates at -1.49 m/s2 for 8.70 s. (a) What is the velocity of the boat at t = 21.95 s? _______ m/s (b) Find the total displacement of the boat. _______ m
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Some chipmunks are running back and forth along a tree branch. One chipmunk is at rest at t = 0 s and starts running to the right. It speeds up to a speed of 1.5 m/s in 3 s. How far does it run in this time? Another chipmunk starts from rest and runs to the left. It speeds up to a speed of 2.1 m/s in 3.2 s. It then slows to a stop in...
A speedboat starts from rest with a constant acceleration of +1.50 m/s2. After 4.00 seconds, its acceleration changes to +1.00 m/s2. After another 5.00 seconds, its acceleration changes to zero and the boat travels with constant velocity for a further 10.0 seconds. The boat then slows down and stops by accelerating at -2.00 m/s2. 1. Calculate the velocity and displacement of the boat at t = 4.00 seconds. 2. Calculate the velocity and displacement of the boat at t =...
A speedboat starts from rest and accelerates at +1.61 m/s2 for 8.90 s. At the end of this time, the boat continues for an additional 6.01 s with an acceleration of +0.454 m/s2. Following this, the boat accelerates at -1.48 m/s2 for 6.45 s. (a) What is the velocity of the boat at t = 21.36 s? (b) Find the total displacement of the boat. Show all steps please! Thanks!
Problem 1) A car starts from rest at x 0 and 0, travelling in a straight line. The car speeds up and then slows down until it comes back to rest at a distance of 0.900 km from where it started. For the first quarter of the distance, its acceleration is +2.25 m/s2, while for the last three quarters of the distance its acceleration is -0.750 m/s2. (a) Find the travel time for the entire trip. (b) Find the maximum...
Chapter 2, Problem 38 A speedboat starts from rest and accelerates at +1.60 m/s2 for 6.42 s. At the end of this time, the boat continues for an additional 5.04 s with an acceleration of +0.572 m/s2. Following this, the boat accelerates at -1.29 m/s2 for 6.37 s. (a) What is the velocity of the boat at t 17.83 s? (b) Find the total displacement of the boat a1 a2 a3 +x xt x3 (a) Number Units (b) Number Units
A dolphin swims at a constant velocity of 15 m/s southeast for 10 seconds, slows to a stop at a rate of 3 m/s^2, and then accelerates northwest at a rate of 2 m/s^2 for 5 seconds. (a) sketch the acceleration as a function of time; (b) find an expression for the dolphin's average velocity over any time interval [0,t] during the motion; (c) find the expression fo the dolphin's displacement as a function of time; and (d) sketch the...