A cat walks in a straight line, which we shall call the x -axis, with the positive direction to the right. As an observant physicist, you make measurements of this cat’s motion and construct a graph of the feline’s velocity as a function of time ( Fig. E2.30 ) . (a) Find the cat’s velocity at t = 4.0 s and at t = 7.0 s. (b) What is the cat’s acceleration at t = 3.0 s? At t = 6.0 s? At t = 7.0 s? (c) What distance does the cat move during the first 4.5 s? From t = 0 to t = 7.5 s? (d) Assuming that the cat started at the origin, sketch clear graphs of the cat’s acceleration and position as functions of time. Figure E2.30
A cat walks in a straight line, which we shall call the x -axis, with the positive direction to the right. As an observant physicist, you make measurements of this cat’s motion and construct a graph of the feline’s velocity as a function of time ( Fig. E2.30 ) . (a) Find the cat’s velocity at t = 4.0 s and at t = 7.0 s. (b) What is the cat’s acceleration at t = 3.0 s? At t = 6.0 s? At t = 7.0 s? (c) What distance does the cat move during the first 4.5 s? From t = 0 to t = 7.5 s? (d) Assuming that the cat started at the origin, sketch clear graphs of the cat’s acceleration and position as functions of time. Figure E2.30
A cat walks in a straight line, which we shall call the x-axis, with the positive direction to the right. As an observant physicist, you make measurements of this cat’s motion and construct a graph of the feline’s velocity as a function of time (Fig. E2.30). (a) Find the cat’s velocity at t = 4.0 s and at t = 7.0 s. (b) What is the cat’s acceleration at t = 3.0 s? At t = 6.0 s? At t = 7.0 s? (c) What distance does the cat move during the first 4.5 s? From t = 0 to t = 7.5 s? (d) Assuming that the cat started at the origin, sketch clear graphs of the cat’s acceleration and position as functions of time.
On a one lane road, a person driving a car at v1 = 58 mi/h suddenly notices a truck 1.1 mi in front of him. That truck is moving in the same direction at v2 = 35 mi/h. In order to avoid a collision, the person has to reduce the speed of his car to v2 during time interval Δt. The smallest magnitude of acceleration required for the car to avoid a collision is a. During this problem, assume the direction of motion of the car is the positive direction.
1. Use the expressions you entered in parts (c) and (f) and enter an expression for a in terms of d, v1, and v2.
a = ( v2 - v1 )/Δt
Δt = ( 2 ) ( d )/( v1 - v2 )
2. Calculate the value of a in meters per second squared.
The graph shows the time records of the position, velocity, and acceleration of a hummingbird, as it hovers back and forth along a straight line near a tempting feeder, trying to decide if it wants to take a drink of nectar. The units for the quantities are m, m/s, and m/ s2s2. Which is which?
a. Position: B; Velocity: C; Acceleration: A
b. Position: C; Velocity: A; Acceleration: Bc. Position: A; Velocity: C; Acceleration: Bd. Position: C; Velocity: B; Acceleration: Ae. Position: B; Velocity: A; Acceleration: C
Referring to the figure, a truck drives a distance d=30.1m in the positive x direction in a time t1=17.2s, at which point the truck brakes, coming to rest in t2=8.13s.
Part A: What is the truck's average velocity in the horizontal direction, in meters per second, during the t1 time period?
Part B: Assuming the truck started from rest and moved with a constant acceleration, what was the acceleration, in meters per suqared second, during the time interval t1?
Part C: What was the truck's instananeous velocity in the horizontal direction, in meters per second, when it began braking? And using the result from the previous answer, what was the truck's horizontal component of acceleration, in meters per squared second, during the braking period?
Please explain how you got your answer in detail.
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