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Name Block Physics Math Worksheet - Algebra and Substitution Solve the following equations for the variable indicated. There should be enough room to do one step at a time. x mv kx for k 1. v for t 3. mgh mv for v t m1 v 2 m2 gh for r r 5. T 2 7. x v i t a t for a L for g g for R2 R1 R 2 Req 6. m 1 v1 m 2 v 2 m1 v f m2 v f for vf 9. m1 x m2 3 x for x Evaluate the following using the information given* Try algebraically solving for the unknown variable first. 2. F find r if F 10 m 5 v 4 1. v f vi at find a if vi 2 vf 16 t 2 3. T 2 m find m if T 3 k 50 k find do if di 20 f 12 do di f P 12 d 13 P 22 d2 3 find d2 if P1 10 P2 8 d1 2 6. x v i t a t find t if vi 0 x 125 a 10 Hint Do any terms drop out 7. If an airplane travels at 120 m/s v how long 8. A toy car accelerates from an initial velocity vi of would it take t for the plane to travel a distance x 5 m/s to a final velocity vf of 17 m/s in 6 seconds. of 300 meters Find the acceleration of the car I List givens v Concept Equation II Derive Equation solve for t vi vf a III Substitute the given values into your derived equation for time and evaluate. x mv kx for k 1. v for t 3. mgh mv for v t m1 v 2 m2 gh for r r 5. T 2 7. x v i t a t for a L for g g for R2 R1 R 2 Req 6. m 1 v1 m 2 v 2 m1 v f m2 v f for vf 9. m1 x m2 3 x for x Evaluate the following using the information given* Try algebraically solving for the unknown variable first. m 1 v1 m 2 v 2 m1 v f m2 v f for vf 9. m1 x m2 3 x for x Evaluate the following using the information given* Try algebraically solving for the unknown variable first. 2. F find r if F 10 m 5 v 4 1. v f vi at find a if vi 2 vf 16 t 2 3. T 2 m find m if T 3 k 50 k find do if di 20 f 12 do di f P 12 d 13 P 22 d2 3 find d2 if P1 10 P2 8 d1 2 6. 2. F find r if F 10 m 5 v 4 1. v f vi at find a if vi 2 vf 16 t 2 3. T 2 m find m if T 3 k 50 k find do if di 20 f 12 do di f P 12 d 13 P 22 d2 3 find d2 if P1 10 P2 8 d1 2 6. x v i t a t find t if vi 0 x 125 a 10 Hint Do any terms drop out 7. If an airplane travels at 120 m/s v how long 8. x v i t a t find t if vi 0 x 125 a 10 Hint Do any terms drop out 7. If an airplane travels at 120 m/s v how long 8. A toy car accelerates from an initial velocity vi of would it take t for the plane to travel a distance x 5 m/s to a final velocity vf of 17 m/s in 6 seconds. A toy car accelerates from an initial velocity vi of would it take t for the plane to travel a distance x 5 m/s to a final velocity vf of 17 m/s in 6 seconds. of 300 meters Find the acceleration of the car I List givens v Concept Equation II Derive Equation solve for t vi vf a III Substitute the given values into your derived equation for time and evaluate. x mv kx for k 1. v for t 3. mgh mv for v t m1 v 2 m2 gh for r r 5. T 2 7. x v i t a t for a L for g g for R2 R1 R 2 Req 6. m 1 v1 m 2 v 2 m1 v f m2 v f for vf 9. m1 x m2 3 x for x Evaluate the following using the information given* Try algebraically solving for the unknown variable first. 2. F find r if F 10 m 5 v 4 1. v f vi at find a if vi 2 vf 16 t 2 3. T 2 m find m if T 3 k 50 k find do if di 20 f 12 do di f P 12 d 13 P 22 d2 3 find d2 if P1 10 P2 8 d1 2 6.

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