Question

1. During a short interval of time the speed v in m/s of an automobile is given by v = at^2+bt^3, where the time t is in seconds. The units of "a" and "b" are respectively: A. m·s^2; m·s^4 B. s^3/m; s^4/m C. m/s^2; m/s^3 D. m/s^3; m/s^4 E. m/s^4; m/s^5 2. A car travels up a hill at a constant speed of 40 km/h and returns down the hill at a constant speed of 60 km/h. calculate the average speed for the round trip. A. 50.5 km/h B. 55 km/h C. 48 km/h D. 42 km/h E. 56.8 km/h 3. The position of an object moving along an x axis is given by x = 3t- 4t^2+t^3 .where x is in meters and t in seconds. What is its average velocity for the time interval from t = 2 s to t = 4 s. A. 11 m/s B. 10 m/s C. 9 m/s D. 8 m/s E. 7 m/s 4. A vector has a component of 10 m in the +x direction, a component of 10 m in the +y direction, and a component of 5 m in the +z direction. The magnitude of this vector is: A. zero B. 15 m C. 20 m D. 25 m E. 225 m 5. Three vectors in the figure have magnitudes a = 3.0 m, b = 4.0 m, and c = 10 m and ? = 30.0°. What is magnitude of the "x" component of c. A. 3 m B. 9.8 m C. 5 m D. 6.8 m E. 3.46 m 6. Which of the following is NOT an example of accelerated motion? A. Vertical component of projectile motion B. Circular motion at constant speed C. A swinging pendulum D. Earth's motion about sun E. Horizontal component of projectile motion 7. A boy on the edge of a vertical cliff 20 m high throws a stone horizontally outward with a speed of 20 m/s. It strikes the ground at what horizontal distance from the foot of the cliff? (Use g = 10 m/s^2). A. 10 m B. 40 m C. 50 m D. 50?5 m E. none of these 

          1. During a short interval of time the speed v in m/s of an automobile is given by v = at^2+bt^3, where the time t is in seconds. The units of "a" and "b" are respectively:
A. m·s^2; m·s^4 B. s^3/m; s^4/m
C. m/s^2; m/s^3 D. m/s^3; m/s^4
E. m/s^4; m/s^5

2. A car travels up a hill at a constant speed of 40 km/h and returns down the hill at a constant speed of 60 km/h. calculate the average speed for the round trip.
A. 50.5 km/h B. 55 km/h
C. 48 km/h D. 42 km/h
E. 56.8 km/h

3. The position of an object moving along an x axis is given by x = 3t- 4t^2+t^3 .where x is in meters and t in seconds. What is its average velocity for the time interval from t = 2 s to t = 4 s.
A. 11 m/s B. 10 m/s
C. 9 m/s D. 8 m/s
E. 7 m/s

4. A vector has a component of 10 m in the +x direction, a component of 10 m in the +y direction, and a component of 5 m in the +z direction. The magnitude of this vector is:
A. zero B. 15 m C. 20 m D. 25 m E. 225 m

5. Three vectors in the figure have magnitudes a = 3.0 m, b = 4.0 m, and c = 10 m and ? = 30.0°. What is magnitude of the "x" component of c.
A. 3 m B. 9.8 m
C. 5 m D. 6.8 m
E. 3.46 m

6. Which of the following is NOT an example of accelerated motion?
A. Vertical component of projectile motion B. Circular motion at constant speed
C. A swinging pendulum D. Earth's motion about sun
E. Horizontal component of projectile motion

7. A boy on the edge of a vertical cliff 20 m high throws a stone horizontally outward with a speed of 20 m/s. It strikes the ground at what horizontal distance from the foot of the cliff? (Use g = 10 m/s^2).
A. 10 m B. 40 m
C. 50 m D. 50?5 m
E. none of these
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1. During a short interval of time the speed v in m/s of an automobile is given by v = at^2+bt^3, where the time t is in seconds. The units of "a" and "b" are respectively: A. m·s^2; m·s^4 B. s^3/m; s^4/m C. m/s^2; m/s^3 D. m/s^3; m/s^4 E. m/s^4; m/s^5 2. A car travels up a hill at a constant speed of 40 km/h and returns down the hill at a constant speed of 60 km/h. calculate the average speed for the round trip. A. 50.5 km/h B. 55 km/h C. 48 km/h D. 42 km/h E. 56.8 km/h 3. The position of an object moving along an x axis is given by x = 3t- 4t^2+t^3 .where x is in meters and t in seconds. What is its average velocity for the time interval from t = 2 s to t = 4 s. A. 11 m/s B. 10 m/s C. 9 m/s D. 8 m/s E. 7 m/s 4. A vector has a component of 10 m in the +x direction, a component of 10 m in the +y direction, and a component of 5 m in the +z direction. The magnitude of this vector is: A. zero B. 15 m C. 20 m D. 25 m E. 225 m 5. Three vectors in the figure have magnitudes a = 3.0 m, b = 4.0 m, and c = 10 m and ? = 30.0°. What is magnitude of the "x" component of c. A. 3 m B. 9.8 m C. 5 m D. 6.8 m E. 3.46 m 6. Which of the following is NOT an example of accelerated motion? A. Vertical component of projectile motion B. Circular motion at constant speed C. A swinging pendulum D. Earth's motion about sun E. Horizontal component of projectile motion 7. A boy on the edge of a vertical cliff 20 m high throws a stone horizontally outward with a speed of 20 m/s. It strikes the ground at what horizontal distance from the foot of the cliff? (Use g = 10 m/s^2). A. 10 m B. 40 m C. 50 m D. 50?5 m E. none of these

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During a short interval of time the speed v in m/s of an automobile is given by v = at^2+bt^3, where the time t is in seconds. The units of "a" and "b" are respectively: A. m·s^2; m·s^4 B. s^3/m; s^4/m C. m/s^2; m/s^3 D. m/s^3; m/s^4 E. m/s^4; m/s^5 2. A car travels up a hill at a constant speed of 40 km/h and returns down the hill at a constant speed of 60 km/h. calculate the average speed for the round trip. A. 50.5 km/h B. 55 km/h C. 48 km/h D. 42 km/h E. 56.8 km/h 3. The position of an object moving along an x axis is given by x = 3t- 4t^2+t^3 .where x is in meters and t in seconds. What is its average velocity for the time interval from t = 2 s to t = 4 s. A. 11 m/s B. 10 m/s C. 9 m/s D. 8 m/s E. 7 m/s 4. A vector has a component of 10 m in the +x direction, a component of 10 m in the +y direction, and a component of 5 m in the +z direction. The magnitude of this vector is: A. zero B. 15 m C. 20 m D. 25 m E. 225 m 5. Three vectors in the figure have magnitudes a = 3.0 m, b = 4.0 m, and c = 10 m and θ = 30.0°. What is magnitude of the "x" component of c. A. 3 m B. 9.8 m C. 5 m D. 6.8 m E. 3.46 m 6. Which of the following is NOT an example of accelerated motion? A. Vertical component of projectile motion B. Circular motion at constant speed C. A swinging pendulum D. Earth's motion about sun E. Horizontal component of projectile motion 7. A boy on the edge of a vertical cliff 20 m high throws a stone horizontally outward with a speed of 20 m/s. It strikes the ground at what horizontal distance from the foot of the cliff? (Use g = 10 m/s^2). A. 10 m B. 40 m C. 50 m D. 50√5 m E. none of these
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Transcript

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00:01 Hello everyone we are going to understand this question here given in the question during a short interval of time the speed v of an automobile is given by speed of automobile speed of automobile v is equal to a into t square plus b into t cube where t is in time where t is in second and we have to find the unit of a and v respectively.
00:45 We know that we know that we can do the addition and subtraction operation in the same unit of object.
01:01 In the same unit value.
01:07 We can do the addition and subtraction operation addition and subtraction operation and subtraction.
01:19 Operation in the similar in the similar terms.
01:44 So, so unit of a into t square is equal to unit of v.
01:56 Similarly, unit of b into t cube is equal to unit of b into t cube is equal to unit of v.
02:11 So we can write unit of a into t.
02:17 So, a into unit of t is second.
02:21 So, second square is equal to unit of v is meter upon second...
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