Other Math Answers

An aeroplane heads due north at 500 km/h. It experiences a 80 km/h crosswind flowing in

the direction N60^°E.

(a) Find the true velocity of the aeroplane.

7. A ball is thrown vertically upward with a speed of 7.1 m/s. Find:

(9 points)

a. Maximum height reached the ball

b. Its time of flight

c. Velocity the ball would return to its starting point

5. A cart is at x = 5.25m and time t = 0. The cart accelerates at

4.15m/s^2. If The speed of the cart at t=0 is 3m/s, find the position

of the cart at t =2s and also determine where the cart is when it

reaches a speed of 5m/s. (3 points)

6. A stone is thrown vertically up with an initial velocity of 4.9m/s from

the top of the building that is 64m high. On its way down, it misses

the top of the building and goes straight to the ground. Find:

(9 points)

a. Its maximum height relative to the ground

b. Its time of flight or the total time it is in air, and

c. Its velocity just before it reaches the ground.

3. Mrs. Mariann Alvarez is approaching a stoplight moving with a

velocity of +25.0 m/s. The light turns yellow, and Ima applies the

brakes and skids to a stop. If Ima's acceleration is -8.00 m/s2, then

determine the displacement of the car during the skidding process.

(Note that the direction of the velocity and the acceleration vectors

are denoted by a + and a - sign.) (3 points)

4. Riza is waiting at a stoplight. When it finally turns green, Riza

accelerated from rest at a rate of a 4.75.00 m/s2 for a time of 4.30

seconds. Determine the displacement of Riza's car during this time

period. (3 points)

1. Jo Ann and her lab partner are completing a free fall lab in physics.

Her partner drops the ball in front of the motion sensor to measure

its speed. Assuming acceleration is constant and air resistance is

negligible, how far does the object fall if it reaches a speed of 9.8

m/s? (3 points)

2. Anneth and her partner disagree about whether or not she can make

a picket fence drop to the ground in exactly 3.0 s. Her partner thinks

the fence is too light to drop that quickly, but she’s convinced it’s possible. Assuming acceleration is constant and air resistance is

negligible, from how high does she have to drop the picket fence for

the smart gate to measure its ground impact at exactly 1.0 s?

A person walks 750m due north, then 250m due east. If the entire walk

takes 13 minutes, find the person's average velocity?

An object moves along a straight line. First it travels at a velocity of

12m/s for 6s and then continues at the same direction with 20m/s for 3s.

What is its average speed?

For 10s, the velocity of a car which travels with a constant acceleration,

changes from 10m/s to 20m/s. How far does the car travel?

A cyclist covers a distance of 15 miles in 2 hours. Calculate his speed.

A boy walks at a speed of 4 kmph. How much time does he take to walk a

distance of 20 km?

A car takes 4 hours to cover a distance, if it travels at a speed of 40 mph. What should be its speed to cover the same distance in 1.5 hours?

If a person drives his car in the speed 50 miles per hour, how far can he

cover in 90 minutes?

Bricks Mix plant was designed to produce 7,000 hammers per day but is limited to making 6,000 hammers per day because of the time needed to change equipment between styles of hammers. What is the utilisation?

A ball kicked horizontally at 10.0m/s from a cliff 80m high. How far from the base of the cliff will the stone strike the ground?

Is 3Fn-Fn-2=Fn+2for n >3n are valid?

A point particle is travelling in a circular path with variable speed. If its

velocity at time t seconds is v = (2t + 1)θˆ:

a. What is the tangential component of acceleration at any time t ?

b. What is the centripetal acceleration at any time t ?

c. What the acceleration of the particle at any time t? Your answer should

look like a = acentriˆr + atan ˆθ, where acentri and atan are scalars which

represent the centripetal and tangential components, respectively, of

the total acceleration a.