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3) Cathy's car's acceleration is given by the following equation a = (4 m/s) A) Sketch...
Cathy's car's acceleration is given by the following equation a =(4 m/s3 )t A) Sketch Cathy's motion on the three graphs below. Velocity (m/s) a х (m/s) (m) 0 Time (s) Time (s) Time (s) What is the equation that describes Cathy's car's velocity? B) 3)B) What is the equation that describes Cathy's car's displacement? C) 3)C) Page 2 of 4
4. A car's position as a function of time is given by the following equation: x(t)-5 m/s t+2.8 m/s2 t-0.15 m/s3 t3. a. Find the average velocity from 0 to 5 s b. Find the instantaneous velocity at 0, 3, and 5s. c. Find the average acceleration from 0 to 5 s. d. Find the instantaneous acceleration at 0, 3, and 5 s. e. At what POSITIVE time does the car come to rest?
10. Given the following graph of acceleration, sketch the corresponding force and velocity graphs: m/s 4 s 2s -2 m/s'
1)C) vs vdt 2) If Bob takes a trip and his displacement is given by the following equation x = (8 m/s)t + (2 m/s2)t2 A) Sketch Bob's motion on the three graphs below. Velocity (m/s) (m) (m/s) Time (s) Time (s) Time (s) Page 1 of 4
4) Given the kinematic equation below solve for the acceleration à and determine the magnitude of the acceleration after time t - 3 seconds given the displacement vectors below. X=(+10 m )X + ( +7 m) =(+1 m )X+(-3 m) 5) Given the following displacement vectors and their resultant vector, determine the components that are missing. (A, B, and C.) A- ( A ) + (-8 m ) + ( 6 m )2 B = ( 10m 8+ ( B,...
4. General Motion with Unit Vectors and Components An object undergoes the following consecutive displacements: s (2i +3j +5k)m,s2 (6i- 9j + 2k)m, and s3 (10i 8j -k)m. a) Find the resultant displacement in terms of unit vectors and components. b) State the magnitude of the resultant displacement. 2. Suppose a hiker travels 5 km southwest from their camp. Then, the hiker travels 2 km 75° north of east. a) Find the displacement of the hiker form their camp. b)...
A hotel elevator ascends 200 m with a maximum speed of 5.0 m/s. Its acceleration and deceleration both have a magnitude of 1.0 m/s2. How far does the elevator move while accelerating to full speed from rest? how long does it take to make the complete trip from bottom to top? 2. MP HW P2.58 (Refer to example 2.10, p.47) A hotel elevator ascends 200m with maximum speed of 5m/s. Its acceleration and deceleration both have a magnitude of 1.0m/s...
A whale 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 velocity versus time t for the entire motion. Assume the motion started at time t=0 seconds; (b) how long did the motion described last?; (c) find an expression of the whale's velocity as a function of time for the entire...
An object's motion can be described by the equation x(t) = (6.0 m/s2)t2-(2.0 m/s)t+1.0 m. a. Find the object's position, velocity, and acceleration at t = 3.0 s. Plot the object's position, velocity, and acceleration (all on separate plots) from t = 0 s to t= 5 s. The following graph shows an object's velocity over time. At t-0 s the objects begins its motion at x = -2m.b. What is the object's displacement from t=0 s to t = 6 s? c....
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...