P1501
TUTORIAL 1
2022-2023
1. What are (a) the x component and (b) the y component of a vector in the xy plane
if its direction is 250° counter clockwise from the positive direction of the x axis
and its magnitude is 7.3 m?
2. A car is driven east for a distance of 50 km, then north for 30km, and then in a
direction 30° east of north for 25 km. Sketch the vector diagram and determine (a)
the magnitude and (b) the angle of the car’s total displacement from its starting
point.
3. A Physics student desires to reach a point that is 3.40 km from her present
location and in a direction that is 35.0° north of east. However, she must travel
along streets that are oriented either north–south or east–west. What is the
minimum distance she could travel to reach her destination?
4. The position of a runner as a function of time is plotted as moving along the x axis
of a coordinate system. During a 3.00-s time interval, the runner’s position
changes from x1 = 50.0 m to x2 = 30.5 m. What was the runner’s average velocity?
5. An automobile is moving to the right along a straight highway, which we choose
the positive x axis and the driver puts on the brakes. If the initial velocity is
v1=15.0 m/s and it takes 5.0 s to slow down to v2 = 5.0 m/s, what is the car’s
average acceleration?
6. A subway train starts from rest at a station and accelerates at a rate of 2 m.s-2 for
10 s. it then runs at constant speed for 30 s, and slows down at -4 m.s-2 until it
stops at the next station. Find the total distance covered.
7. A particle is moving in a straight line so that its position as a function of time is
x= 2.0 + 6.0t – 3.0t2. (a) What is the position, velocity and acceleration of the
particle at t = 0.5s? What is the average velocity and acceleration for the time
interval t = 0.5s to t =2s?
8. A car traveling at a constant speed of 30.0 m/s passes a mounted police officer on
a motorbike hidden behind a billboard. Two second after the speeding car passes
the billboard; an officer sets off in chase with a constant acceleration of 4.00 m/s2.
(a) How long does it take the officer to overtake the speeding car? (b) How fast is
the officer going at that time?
9. Suppose you throw a stone straight up with an initial velocity of 15 m/s and 2s
later you throw the second stone straight up with the same initial velocity. The
first stone going down will meet the second stone going up. At what height do the
stones meet?
10. A physics first year student with too much free time drops a bottle from the roof
of a physics building. He hears the sound of the bottle “breaking” 2.50 s later.
How high is the building? The speed of sound is 340 m/s. Ignore air resistance.
11. A stone is dropped from the top of a tall cliff, and 1 s later a second stone is
thrown vertically downward with a velocity of 20 m.s-1. How far below the top of
the cliff will the second stone overtake the first?
12. Suppose you throw a stone straight up with an initial speed of 15.0 m/s. If you
throw a second stone straight up 1.00 s after the first, with what velocity must you
throw this second stone if it is to hit the first one at the height of 11.0 m?