Question

In: Physics

A car is traveling to the right with an initial speed of 20 m/s. The car...

A car is traveling to the right with an initial speed of 20 m/s. The car slows down to a stop in 25 seconds. What is the acceleration of the car?

Solutions

Expert Solution

According to the problem,

                The initial speed of the car towards right is U = 20 m/s;

                The time in which the get slow down is         t = 25 second;

                As the body is in retardation,

                                The equation of motion is V = U - (a)(t);

                                                V- the final velocity of the car is equal to zero (because the car comes to stop)

                                                U- the initial velocity of car

                                                a – the acceleration of the car (here it is negative because retardation)

                                i.e. V = U + at;

                                     0    = 20 - a (25);

                                    a     = 20 / 25 = 0.8 m/s2;

                                so retardation is 0.8 m/s2, the acceleration is -0.8 m/s2;

                Hence the acceleration of the car is a = - 0.8 m/s2;

                Hence the solution to the problem.


Related Solutions

A 5 kg ball is traveling to the right at a speed of 12 m/s.  A 2...
A 5 kg ball is traveling to the right at a speed of 12 m/s.  A 2 kg ball is traveling to the left at 30 m/s.  They collide in an inelastic collision.   What is their final speed? 0 m/s 12 m/s 17 m/s 30 m/s 42 m/s A 2000 kg truck drives the right at a speed of 40 m/s. How many 0.25 kg bullets fired at 350 m/s need to be fired at the front of the truck to stop...
9. 2 kg glider is traveling toward the right with a speed of 1 m/s on...
9. 2 kg glider is traveling toward the right with a speed of 1 m/s on an air track. A 3 kg glider is traveling on the same track to the left at 2 m/s. If they collide and stick together what speed will they move with? 10. A car with a mass of 1000 kg is stopped at a stop sign. The car accelerates to 20 m/s in 5 seconds. (a) What is the magnitude of the acceleration of...
6.   A   10.0-kg   mass   is   traveling   to   the   right   with   a   speed   of   2.00   m/s   on&nbs
6.   A   10.0-kg   mass   is   traveling   to   the   right   with   a   speed   of   2.00   m/s   on   a   frictionless   horizontal   surface   when   it   collides   with   and   sticks   to   a   second   10.0-kg   mass   that   is   initially   at   rest   but   is   attached   to   a   light   spring   that   is   neither   stretched   nor   compressed   with   a   force   constant   80.0   N/m.   The   system   undergoes   SHM.   A)   Find   the   frequency,   amplitude,   the   period   of   the   subsequent   oscillations   and   the   phase   angle.   B)   Find   the   maximum   and   minimum  ...
A car traveling with constant speed travels 150 km in 7200 s. What is the speed of the car?
A car traveling with constant speed travels 150 km in 7200 s. What is the speed of the car? Express the speed with the appropriate units.
A 1,270-kg car traveling initially with a speed of 25.0 m/s in an easterly direction crashes...
A 1,270-kg car traveling initially with a speed of 25.0 m/s in an easterly direction crashes into the rear end of a 9,100-kg truck moving in the same direction at 20.0 m/s (see figure below). The velocity of the car right after the collision is 18.0 m/s to the east. (a) What is the velocity of the truck right after the collision? (Round your answer to at least three decimal places.) (b) How much mechanical energy is lost in the...
A 1,165-kg car traveling initially with a speed of 25.0 m/s in an easterly direction crashes...
A 1,165-kg car traveling initially with a speed of 25.0 m/s in an easterly direction crashes into the rear end of a 8,300-kg truck moving in the same direction at 20.0 m/s (see figure below). The velocity of the car right after the collision is 18.0 m/s to the east. (a) What is the velocity of the truck right after the collision? (Round your answer to at least three decimal places.) (b) How much mechanical energy is lost in the...
A 1,215-kg car traveling initially with a speed of 25.0 m/s in an easterly direction crashes...
A 1,215-kg car traveling initially with a speed of 25.0 m/s in an easterly direction crashes into the rear end of a 8,100-kg truck moving in the same direction at 20.0 m/s(see figure below). The velocity of the car right after the collision is 18.0 m/s to the east. (a) What is the velocity of the truck right after the collision? (Round your answer to at least three decimal places.) =______ m/s (east) (b) How much mechanical energy is lost...
A truck traveling at a constant speed of 28 m/s passes a more slowly moving car....
A truck traveling at a constant speed of 28 m/s passes a more slowly moving car. The instant the truck passes the car, the car begins to accelerate at a constant rate of 1.2 m/s^2 and passes the truck 545 m farther down the road. What was the speed of the car (in meters/second) when it was first passed by the truck?
A 2000-kg car is traveling at 20 m/s on a horizontal road and the engine suddenly...
A 2000-kg car is traveling at 20 m/s on a horizontal road and the engine suddenly is broken down. The brakes immediately are applied and the car skids to a stop in 4.0 s with a constant acceleration because of kinetic friction. What is the coefficient of kinetic friction between the tires and road?
An 800 kg car has an initial speed of 15 m/s measured at the bottom of...
An 800 kg car has an initial speed of 15 m/s measured at the bottom of a hill. Air resistance and other resistive forces cause a total of 10000 J of energy to be removed from the car as the car travels up the hill. The final speed of the car at the top of the hill is 5 m/s. What is the height of the hill?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT