3. At a certain moment, a car travelling at 40mph begins braking for a railroad crossing. Assume that the acceleration is constant (and negative!) and that 2 minutes later, the car comes to a stop, just before the crossing. (a) Find a formula for the velocity v(t) at any moment during the deceleration. (Hint: use units in terms of hours, and use (10 in Section 5.4.) (b) Determine how far away from the railroad crossing the car was when it began decelerating. (Hint: (9) in Section 5.4 should help.)

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3. At a certain moment, a car travelling at 40mph begins braking for a railroad crossing. Assume that
the acceleration is constant (and negative!) and that 2 minutes later, the car comes to a stop, just
before the crossing.
(a) Find a formula for the velocity v(t) at any moment during the deceleration. (Hint: use units in
terms of hours, and use (10 in Section 5.4.)
(b) Determine how far away from the railroad crossing the car was when it began decelerating. (Hint:
(9) in Section 5.4 should help.)
Transcribed Image Text:3. At a certain moment, a car travelling at 40mph begins braking for a railroad crossing. Assume that the acceleration is constant (and negative!) and that 2 minutes later, the car comes to a stop, just before the crossing. (a) Find a formula for the velocity v(t) at any moment during the deceleration. (Hint: use units in terms of hours, and use (10 in Section 5.4.) (b) Determine how far away from the railroad crossing the car was when it began decelerating. (Hint: (9) in Section 5.4 should help.)
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