Physics equations/Exams for calculus based first semester course (Summer 2014

40513 wed quiz edit

1 A car is accelerating uniformly at an acceleration of 4.35m/s/s. At x = 4m, the speed is 4.95m/s. How fast is it moving at x = 12.25 m?

a) 6.81 m/s.
b) 8.18 m/s.
c) 9.81 m/s.
d) 11.77 m/s.
e) 14.13 m/s.

2 What is the acceleration if a car travelling at 10.1 m/s makes a skid mark that is 8.25 m long before coming to rest? (Assume uniform acceleration.)

a) 5.15m/s/2.
b) 6.18m/s/2.
c) 7.42m/s/2.
d) 8.9m/s/2.
e) 10.68m/s/2.

3 A train accelerates uniformly from 15 m/s to 32.25 m/s, while travelling a distance of 243 m. What is the 'average' acceleration?

a) 1.4m/s/s.
b) 1.68m/s/s.
c) 2.01m/s/s.
d) 2.42m/s/s.
e) 2.9m/s/s.

4 A particle accelerates uniformly at 17.5 m/s/s. How long does it take for the velocity to increase from 1103 m/s to 1937 m/s?

a) 22.98 s
b) 27.58 s
c) 33.1 s
d) 39.71 s
e) 47.66 s

5 The Smith family is having fun on a high speed train travelling at 47.6 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 24.2 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

a) 31.9 m/s.
b) 47.9 m/s.
c) 71.8 m/s.
d) 107.7 m/s.
e) 161.6 m/s.

6 The Smith family is having fun on a high speed train travelling at 47.6 m/s. Mrs. Smith, who is at the front of the train, fires straight towards the back with a bullet that is going forward with respect to Earth at a speed of 26.7 m/s. What was the muzzle speed of her bullet?

a) 9.3 m/s.
b) 13.9 m/s.
c) 20.9 m/s.
d) 31.4 m/s.
e) 47 m/s.

7 The Smith family is having fun on a high speed train travelling at 47.6 m/s. The daugher fires at Mr. Smith with a pellet gun whose muzzle speed is 21.7 m/s. She was situated across the isle, perpendicular to the length of the train. What is the speed of her bullet with respect to Earth?

a) 52.3 m/s.
b) 78.5 m/s.
c) 117.7 m/s.
d) 176.6 m/s.
e) 264.8 m/s.

8 The Smith family got in trouble for having fun on a high speed train travelling at 47.6 m/s. Mr. Smith is charged with having fired a pellet gun at his daughter (directly across the isle) with a bullet that had a speed of 95.9 m/s with respect to Earth. How fast was the bullet going relative to the daughter (i.e. train)?

a) 83.3 m/s.
b) 99.9 m/s.
c) 119.9 m/s.
d) 143.9 m/s.
e) 172.6 m/s.

9 A car traveling at 49.6 miles/hour stops in 2.1 seconds. What is the average acceleration?

a) 5.94 x 100 m/s2
b) 1.06 x 101 m/s2
c) 1.88 x 101 m/s2
d) 3.34 x 101 m/s2
e) 5.94 x 101 m/s2

10 A car completes a complete circle of radius 2.9 miles at a speed of 69.5 miles per hour. How many minutes does it take?

a) 1.18 x 101 minutes
b) 1.57 x 101 minutes
c) 2.1 x 101 minutes
d) 2.8 x 101 minutes
e) 3.73 x 101 minutes

11 A car traveling at 34.6 mph increases its speed to 39.1 mph in 6.2 seconds. What is the average acceleration?

a) 3.24 x 10-1 m/s2
b) 5.77 x 10-1 m/s2
c) 1.03 x 100 m/s2
d) 1.82 x 100 m/s2
e) 3.24 x 100 m/s2

12 Mr. Smith is backing his car at a speed of 3.92 mph when he hits a cornfield (seed corn). In the course of 1.65 seconds he stops, puts his car in forward drive, and exits the field at a speed of 6.35 mph. What was the magnitude ( absolute value) of his acceleration?

a) 6.22 x 100 miles per hour per second
b) 7.84 x 100 miles per hour per second
c) 9.86 x 100 miles per hour per second
d) 1.24 x 101 miles per hour per second
e) 1.56 x 101 miles per hour per second


140521 Wed quiz edit

1 A ball is kicked horizontally from a height of 2.1 m, at a speed of 8.6m/s. How far does it travel before landing?

a) 3.91 m.
b) 4.69 m.
c) 5.63 m.
d) 6.76 m.
e) 8.11 m.

2 A particle is initially at the origin and moving in the x direction at a speed of 4.3 m/s. It has an constant acceleration of 2.1 m/s2 in the y direction, as well as an acceleration of 0.3 in the x direction. What angle does the velocity make with the x axis at time t = 2.7 s?

a) 41.72 degrees.
b) 47.97 degrees.
c) 55.17 degrees.
d) 63.45 degrees.
e) 72.96 degrees.

3 At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 7.43 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.79 m, and moves at a constant speed of 2.88 m/s in the +y direction. At what time do they meet?

a) 0.34 s.
b) 0.41 s.
c) 0.49 s.
d) 0.59 s.
e) 0.7 s.

4 At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.99 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.48 m, and moves at a constant speed of 2.56 m/s in the +y direction. What is the value of θ (in radians)?

a) 0.44 radians.
b) 0.51 radians.
c) 0.58 radians.
d) 0.67 radians.
e) 0.77 radians.