what do I need to learn before solving these problems effectively? 1. An airplane increases its speed at the average rate of 15 m/s2

. How much time does it

take to increase its speed from 100 m/s to 160 m/s?
2. A car that is initially moving at 7.50 m/s begins to accelerate forward uniformly at 0.550
m/s2
.
a. How long after beginning to accelerate does it take the car to move 3.50 km?
b. How fast is the car moving just as it has traveled 3.50 km?
3. At the instant a traffic light turns green, a car that has been waiting at the intersection
starts ahead with a constant acceleration of 2.00 m/s2

. At that moment a truck traveling

with a constant velocity of 15.0 m/s overtakes and passes the car.
a. Calculate the time necessary for the car to reach the truck.
b. Calculate the distance beyond the traffic light that the car will pass the truck.
c. Determine the speed of the car when it passes the truck.
4. A car is moving with a constant acceleration. At time t = 5.0 s its velocity is 8.0 m/s in
the forward direction, and at time t = 8.0 s its velocity is 12.0 m/s forward. What is the
distance traveled in that interval of time?
5. A car is traveling at 26.0 m/s when the driver suddenly applies the brakes, causing the car
to slow down with constant acceleration. The car comes to a stop in a distance of 120 m.
How fast was the car moving when it was 60.0 m past the point where the brakes were
applied?
6. A player hits a tennis ball into the air with an initial velocity of 32 m/s at 35° from the
vertical. How fast is the ball moving at the highest point in its trajectory if air resistance
is negligible?
7. A stone is thrown horizontally with an initial speed of 10 m/s from the edge of a cliff. A
stopwatch measures the stone's trajectory time from the top of the cliff to the bottom to be
4.3 s. What is the height of the cliff if air resistance is negligibly small?
8. At target practice, a rifle bullet is fired at an angle of 30° below the horizontal with an
initial velocity of 800 m/s from the top of a cliff 80 m high. How far from the base of the
cliff does it strike the level ground below if air resistance is negligible?
9. A batter hits a home run in which the ball travels 110 m horizontally with no appreciable
air resistance. If the ball left the bat at 50° above the horizontal just above ground level,
how fast was it hit?
10. A hunter points a rifle horizontally and holds it 3.30 m above the ground. The bullet
leaves the barrel at 325 m/s and experiences no significant air resistance. The acceleration
due to gravity at this location is 9.80 m/s2
.

a. How long does it take for the bullet to strike the ground?
b. How far horizontally does it travel?
11. A projectile leaves the ground at 150 m/s and reaches a maximum height of 0.57 km. If
there was no air resistance, at what angle above the horizontal did it leave the ground?
12. A boy kicks a football from ground level with an initial velocity of 20 m/s at an angle of
30° above the horizontal. What is the horizontal distance to the point where the football
hits the ground if we neglect air resistance?
13. A projectile is fired from ground level at an angle above the horizontal on an airless
planet where g = 10.0 m/s2

. The initial x and y components of its velocity are 86.6 m/s
and 50.0 m/s respectively. How long after firing does it take before the projectile hits the
level ground?

14. A projectile is fired at an angle above the horizontal at a location where g = 9.8 m/s2
. The
initial x and y components of its velocity are 86.6 m/s and 50 m/s respectively. At what
angle was the projectile fired above the horizontal?