Can you please answer and show work for the following Physics questions? Thank you.

6. Erwin pushed a 0.25-kg crate across a level frictionless surface. He applied a constant horizontal force of 5.0 newions to the right on the crate for 1.4 seconds. 5.0 N (a) Find the impulse delivered to the crate. (b) Find the magnitude of the final velocity of the crate if it was initially at rest. 7. While playing softball, Robert swings and hits the 0.35-kg ball. (a) Find the total change in momentum if the ball's initial velocity is -14/ m/s and its final velocity is + 46/ m/s. F (b) If the bat exerts a constant force on the ball for 0.084 s. find the magnitude and direction of the force. 8. A woman driving her car approaches an intersection and begins to accelerate just as the traffic light turns green. The graph shows her Vill = 212 - 81 + 10 velocity as a function of time described by the equation 25 "(1 = 27 - 81 + 10. 20 (a) Use calculus to find her instantaneous acceleration at 15 7 = 3.0s. Velocity in meters per second 10 (b) Use calculus to find the area under the curve to see how far she traveled between 7 = 0s and / = 5.0s. 0 1 2 3 4 5 Time in seconds 9. A board is placed on a pair of scales and the scales are adjusted so that each scale has a reading of zero. Then a car is placed on the board and the readings of the scales are 200 newions and 300 newions. as shown. How far is the center of mass of the car from the right end of the board? 200 N 300 -7.5 m 2.5 m 10. A ball is released from rest and falls a distance of 900 meters. Neglect air resistance. (a) How long does it take for the ball to hit the ground? [b) What is the velocity of the ball just before it hits the ground