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A driver uniformly accelerates his car such that
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Chapter 2 Solutions
Physics for Scientists and Engineers: Foundations and Connections
- A spacecraft starts from rest, and makes a journey to a destination 355000 km from its starting point. It does so by accelerating at a constant rate of 14.76 m/s^2 up to the midpoint of the journey, and then decelerates at the same constant rate of 14.76 m/s^2 for the second half of the journey, ending at rest. How long did the entire journey take? a. 3 hr 20 min b. 2 hr 43 min c. 1 hr 56 min d. 6 hr 41 minarrow_forwardb. A car's velocity as a function of time is given by V (t) = a+ Bßt² , where a = 3.00m/s and B= 0.100 m/s³. I. Calculate the average acceleration for the time interval t= 0 to t= 5.00s. Calculate the instantaneous acceleration fort=0 and t = 5.00s. II. III. Draw the Velocity - Time graph for the car's motion between t=0 and t= 5.00s. ||arrow_forwarda van travels a distance d=25.6m in the positive x direction in a time t1=23.7s, at which point it brakes coming to a rest in t2=8.33sa. what was the van's avergae velocity in the horizontal direction in m/s during the t1 time period?b.assuming the van started from rest and moved at a constant acceleration, what was the acceleration in m/s2 during the time interval t1?c. what was the van's instantaneous velocity in the horizontal direction in ms when it was braking?d. using the result from part c, what was the van's horizontal component of acceleration in m/s2 during the braking period?arrow_forward
- A cargo ship makes a short run between two docks: one in Mock Town. The other is in Logue Town. As the ship approaches Logue Town, (traveling in the positive direction), its speed is 7.4 m/s. A. If the ship slows down to a stop in 12.3 s, what is its average acceleration?arrow_forwardA rocket moves straight upward, starting from rest with an acceleration of +29.4 m/s^2. It runs out of fuel at the end of 4.00 s and continues to coast upward, reaching a maximum height before falling back to Earth. a.) Find the rocket's velocity and position at the end of 4.00 s. b.) Find the maximum height the rocket reaches. c.) Find the velocity the instant before the rocket crashes on the ground.arrow_forwarda.Members of the froghopper family of insects (family Cercopoidea) can accelerate from rest to 0.84 m/s in 5.80 ms. What is the acceleration (in m/s2)? Enter the numerical part of your answer, rounded to three significant figures. b.A western honey bee (Apis mellifera) flies 3.51 m north and then 6.31 m east. What is its displacement from the starting position? Enter only the numerical part of your answer (in m) to the nearest integer.arrow_forward
- A small block has constant acceleration as it slides down a frictionless incline. The block is released from rest at the top of the incline, and its speed after it has traveled 6.00 mm to the bottom of the incline is 3.80 m/sm/s. A). What is the speed of the block when it is 4.60 mm from the top of the incline? Express your answer with the appropriate units.arrow_forwardThe acceleration of a bus is given by ax(t) = αt, where α = 1.15 m/s3 is a constant. a. If the bus's velocity at time t1 = 1.05 s is 4.90 m/s, what is its velocity at time t2 = 2.20 s? b. If the bus's position at time t1 = 1.05 s is 6.05 m, what is its position at time t2 = 2.20 s?arrow_forwardIn an unknown planet, in which the acceleration due to gravity is constant, a rocket is launched straight up. The velocity at t = 3.00 s is 10 m/s upward. Then, at t = 7.00 s, the velocity is -4.00 m/s downward. a. Draw a sketch of the situation. b. What is the initial velocity of the rocket? c. What is the acceleration that the rocket experiences?arrow_forward
- A Honda Civic travels in a straight line along a road. Its distance x from a stop sign is given as a function of time t by the equation x(t) = αt2−βt3, where α = 1.55 m/s2 and β = 0.0520 m/s3. a. Calculate the average velocity of the car for the time interval t = 0 to t = 1.95 s. b. Calculate the average velocity of the car for the time interval t = 0 to t = 4.00 s. c. Calculate the average velocity of the car for the time interval t = 1.95 s to t = 4.00 s.arrow_forwardA ball rolls down from the top of an inclined plane. The displacements for the first 3 seconds are 2.40 m, 9.84 m, and 22.00 m. a. What is the average velocity of the ball at the end of 1s? 2s? 3s? b. What is the average acceleration of the ball at the end of 1s? 2s? 3s? c. What is the average of the accelerations obtained in (b)?arrow_forwardThe position of a toy car driving on a horizontal surface is given by x = 4.0m - (2.0m/s)*t + (1.5m/s^2 )*t^2 . a. Determine the position of the car at t=1.0s, 2.0s, and 3.0s. b. What is the average velocity over the time interval t=1.0s to t=3.0s? c. What is the instantaneous velocity at t=2.0s? d. Draw graphs each for the position (x) function versus time, velocity versus time, and acceleration versus time. Hand drawn-graphs are encouraged (for practice for the midterm), though computer generated is allowed as well. Make sure to be very specific in the details (labels, scales, units, where the intercepts are, etc.).arrow_forward
- College PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning